Pubblicazioni scientifiche di Alberto Cialdea

1. Cialdea A. (1985). Un teorema di completezza per i polinomi biarmonici in un campo con contorno angoloso. Rendiconti di Matematica e delle sue Applicazioni, Vol. 5; p. 327-344.


2. Cialdea A. (1985). Teoremi di completezza connessi con equazioni ellittiche di ordine superiore in due variabili in un campo con contorno angoloso. Rendiconti del Circolo Matematico di Palermo, Vol. 34; p. 32-49.


3. Cialdea A. (1986). L'equazione $\Delta_2u+ a_{10}(x,y){\partial u \over \partial x} + a_{01}(x,y) {\partial u \over \partial y} + a_{00}(x,y) u = F(x,y)$. Teorema di esistenza per un generale problema al contorno. Atti della Accademia Nazionale dei Lincei. Rendiconti della classe di scienze fisiche, matematiche e naturali, Vol. 80; p. 89-99.


4. Cialdea A. (1986). L'equazione $\Delta_2u+ a_{10}(x,y){\partial u \over \partial x} + a_{01}(x,y) {\partial u \over \partial y} + a_{00}(x,y) u = F(x,y)$. Calcolo dell'indice dei problemi al contorno e soluzioni deboli. Atti della Accademia Nazionale dei Lincei. Rendiconti della classe di scienze fisiche, matematiche e naturali, Vol. 80; p. 185-195.


5. Cialdea A. (1986). L'equazione $\Delta_2u+ a_{10}(x,y){\partial u \over \partial x} + a_{01}(x,y) {\partial u \over \partial y} + a_{00}(x,y) u = F(x,y)$. Formule di maggiorazione relative ai problemi al contorno. Atti della Accademia Nazionale dei Lincei. Rendiconti della classe di scienze fisiche, matematiche e naturali, Vol. 80; p. 510-524.


6. Cialdea A. (1987). L'equazione $\Delta_2u+ a_{10}(x,y){\partial u \over \partial x} + a_{01}(x,y) {\partial u \over \partial y} + a_{00}(x,y) u = F(x,y)$. Teoremi di completezza. Atti della Accademia Nazionale dei Lincei. Rendiconti della classe di scienze fisiche, matematiche e naturali, Vol. 81; p. 245-257.


7. Cialdea A. (1988). Sul problema della derivata obliqua per le funzioni armoniche e questioni connesse. Rendiconti dell'Accademia Nazionale delle Scienze detta dei XL. Parte I: Memorie di Matematica, Vol. 12; p. 181-200.


8. Cialdea A. (1988). Formule di maggiorazione e teoremi di completezza relativi al sistema dell'elasticità tridimensionale. Rivista di Matematica della Università di Parma, Vol. 14; p. 283-302.


9. Cialdea A. (1988). Maggiorazione esplicita $L^2$ per le soluzioni del sistema dell'elasticità . Rendiconti di Matematica e delle sue Applicazioni, (7) Vol. 8; p. 241-264.


10. Cialdea A. (1989). A complement to the theory of elastostatics with non absolutely continuous data. Rendiconti di Matematica e delle sue Applicazioni, (7) Vol. 9; p. 1-8.


11. Cialdea A. (1990). Elastostatics with non absolutely continuous data. Journal of Elasticity, Vol. 23; p. 13-51.


12. Cialdea A. (1991). The simple layer potential for the biharmonic equation in $n$ variables. Atti della Accademia Nazionale dei Lincei. Rendiconti Lincei. Matematica e Applicazioni, (9) Vol. 2; p. 115-127.


13. Cialdea A. (1991). Сингулярные интегралные уравнения для дифференциалиых форм (in russo). Успехи математических наук (Uspekhi Mat. Nauk), Vol. 46; p. 167.


14. Cialdea A. (1992). On the finiteness of the energy integral in elastostatics with non absolutely continuous data. Atti della Accademia Nazionale dei Lincei. Rendiconti Lincei. Matematica e Applicazioni, (9), Vol. 4; p. 35-42.


15. Cialdea A. (1992). A multiple layer potential theory alternative to Agmon's. Archive for Rational Mechanics and Analysis, Vol. 120; p. 345-362.


16. Cialdea A. (1992). The multiple layer potential for the biharmonic equation in $n$ variables. Atti della Accademia Nazionale dei Lincei. Rendiconti Lincei. Matematica e Applicazioni, (9), Vol. 3; p. 241-259.


17. Cialdea A. (1993). A new class of singular integral equations and applications. In: Balavadze M., Kiguradze I., Kokilashvili V.. Continuum mechanics and related problems of analysis. p. 228-234, Tbilisi: Metsniereba.


18. Cialdea A. (1995). The simple- and the multiple-layer potential approach in $n$-dimensional problems. In: Tutschke W., Mshimba A.S.. Functional analytic methods in complex analysis and applications to partial differential equations. p. 375-378, River Edge, NJ: World Scientific Publishing Co.


19. Cialdea A. (1995). A general theory of hypersurface potentials. Annali di matematica pura ed applicata, Vol. (4) 168; p. 37-61.


20. Cialdea A., Hsiao G. (1995). Regularization for Some Boundary Integral Equations of the First Kind in Mechanics. Rendiconti dell'Accademia Nazionale delle Scienze detta dei XL. Parte I: Memorie di Matematica, Vol. 19; p. 25-42.


21. Cialdea A. (1997). The Brothers Riesz theorem for conjugate differential forms. Applicable Analysis; p. 69-94.


22. Cialdea A. (1997). The Brothers Riesz Theorem in ${\Bbb R}^n$ and Laplace series. Memoirs on Differential Equations and Mathematical Physics, Vol. 12; p. 42-49.


23. Cialdea A. (1997). Singular integral equations and differential forms. In: Morino L., Wendland W.. Boundary Integral Methods for Nonlinear Problems. p. 29-34, Dordrecht: Kluwer Academic Publishers.


24. Cialdea A. (1998). On the theory of self-conjugate differential forms. Atti del Seminario Matematico e Fisico dell'Università di Modena, Vol. XLVI; p. 595-620.


25. Cialdea A. (1998). The Brothers Riesz Theorem: complex and real versions. In: H. Florian et al. (Eds). Generalized Analytic Functions. p. 139-149, Kluwer Academic Publishers.


26. Cialdea A. (1999). The summability of conjugate Laplace series on the sphere. Acta Scientiarum Mathematicarum, Vol. 65; p. 93-119.


27. Cialdea A., Lanzara F. (2001). Some contributions of G. Fichera to the theory of Partial Differential Equations, Quaderni di Matematica, Vol. 7, Aracne, Roma; p. 79-143.


28. Cialdea A. (2001). On the Dirichlet and Neumann problems for pluriharmonic functions. Quaderni di Matematica, Vol. 7, Aracne, Roma, p. 31-78.


29. Cialdea A., Maz'ya V. (2005). Criterion for the $L^p$-dissipativity of second order differential operators with complex coefficients. Journal de Mathématiques Purés et Appliquées, Vol. 84; p. 1067-1100.


30. Cialdea A., Malaspina A. (2005). Completeness Theorems for the Dirichlet Problem for the Polyharmonic Equation. Rendiconti dell'Accademia Nazionale delle Scienze detta dei XL. Parte I: Memorie di Matematica, Vol. XXIX; p. 153-174.


31. Cialdea A., Maz'ya V. (2006). Criteria for the $L^p$-dissipativity of systems of second order differential equations. Ricerche di Matematica, Vol. 55; p. 233-265.


32. Cialdea A. (2007). Completeness Theorems: Fichera's fundamental results and some new contributions. Le Matematiche, Vol. LXII, Fasc.II; p. 147-162.


33. Cialdea A. (2007). Completeness Theorems for Elliptic Equations of Higher Order with Constant Coefficients. Georgian Mathematical Journal, Vol. 14, p. 81-97.


34. Cialdea A., Ciampa D. (2008). On the Stokes system in a domain with a fractal boundary, Preprint Università della Basilicata.


35. Cialdea A., Maz'ya V. (2009). Кваэикоммутативость оператора Пуассона и оператора композиции, (in russo) Проблемы математического анализа (Probl. Mat. Anal.), Vol. 43; p. 97-105.


36. Cialdea A., Lanzara F., Ricci P.E. (2009). On the Occasion of the 70th Birthday of Vladimir Maz'ya. Operator Theory, Advances and Applications, Vol. 193, p.ix-xvii.


37. Cialdea A. (2009). Criteria for the $L^p$-dissipativity of Partial Differential Operators. Operator Theory, Advances and Applications, Vol. 193, p. 41-56.


38. Cialdea A., Maz'ya V. (2010). A quasi-commutativity property of the Poisson and composition operators. Journal of Mathematical Sciences, Vol. 164, p. 415-426.


39. Cialdea A. (2010). Progress in the Problem of the $L^{p}$-Contractivity of Semigroups for Partial Differential Operators. In: A. Laptev, Rozhkovskaya T. (Eds.). Around the Research of Vladimir Maz'ya III. Analysis and Applications. Vol. III, p. 47-75, Springer.


40. Cialdea A. (2010). Approximation by polynomial solutions of PDEs of higher order and boundary value problems. Lecture Notes of Seminario Interdisciplinare di Matematica, Vol. 9, p. 89-97.


41. Cialdea A., Leonessa V., Malaspina A. (2011). Integral representations for solutions of some BVPs for the Lamé system in multiply connected domains. Boundary Value Problems, 2011:53, p. 1-25.


42. Cialdea A. (2012). Completeness Theorems in the Uniform Norm connected to Elliptic Equations of Higher Order with Constant Coefficients. Analysis and Applications, Vol. 10, p. 1-20.


43. Cialdea A., Leonessa V., Malaspina A. (2012), On the Dirichlet and the Neumann problems for Laplace equation in multiply connected domains. Complex Variables and Elliptic Equations, Vol. 57, p. 1035-1054.


44. Cialdea A., Leonessa V., Malaspina A. (2013), On the Dirichlet problem for the Stokes system in multiply connected domains. Abstract and Applied Analysis, Vol. 2013, Article ID 765020, 12 pages DOI: 10.1155/2013/765020.


45. Cialdea A., Dolce E., Malaspina A., Nanni V., (2013) On an integral equation of the first kind arising in the theory of Cosserat. International Journal of Mathematics, Vol. 24, No.5, 1350037, 21 pages, DOI: 10.1142/S0129167X13500377.


46. Cialdea A., Lanzara F. (2013), Stability of Solutions of Evolution Equations. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei (9) Matematica e Applicazioni, 24, p. 451-469.


47. Cialdea A., Maz'ya V., (2013) $L^p$-dissipativity of the Lamé operator, Memoirs on Differential Equations and Mathematical Physics, 60, 111-133.


48. Caramuta P., Cialdea A. (2014) Mean value theorems for polyharmonic functions: A conjecture by Picone, Analysis, 34, 51-66.


49. Cialdea A., (2014) Completeness Theorems: an example of the legacy of Gaetano Fichera, in: C. Sbordone (Ed.) Equazioni a derivate parziali nell'opera di Gaetano Fichera, Quaderno n. 60 Accademia Pontaniana, Giannini Editore Napoli, 49-68.


50. Fichera, G. †. A cura di Cialdea A., Lanzara F., (2014) On Stability of Solutions of Evolution Equations, in: C. Sbordone (Ed.) Equazioni a derivate parziali nell'opera di Gaetano Fichera, Quaderno n. 60 Accademia Pontaniana, Giannini Editore Napoli, 69-86.


51. Caramuta P., Cialdea A., (2014) Some applications of the theory of self-conjugate differential forms, Bulletin of TICMI, 18, 18-35.


52. Caramuta P., Cialdea A., Silverio F., (2014) The Abel summability of conjugate Laplace series, Reports of Enlarged Sessions of the Seminar of I. Vekua Institute of Applied Mathematics, 28, 12-15.


53. Cialdea A., Dolce E., Leonessa V., Malaspina A., (2014) On the potential theory in Cosserat elasticity, Bulletin of of TICMI, 18, 67-81.


54. Cialdea A., Dolce E., Leonessa V., Malaspina A., (2014) New integral representations in the linear theory of viscoelastic materials with voids, Publications de l'Institut Mathématique (Beograd), 96 (110), 49-65.


55. Cialdea A., Dolce E., Leonessa V., Malaspina A., (2014) On the potential theory in the linear theory of viscolelastic materials with voids, Reports of Enlarged Sessions of the Seminar of I. Vekua Institute of Applied Mathematics, 28, 16-19.


56. Cialdea A., Dolce E., Malaspina A., (2015) A complement to potential theory in the Cosserat elasticity, Mathematical Methods in the Applied Sciences, 38, 537-547, DOI: 10.1002/mma.3086.


57. Cialdea A., Leonessa V., Malaspina A., (2015) The Dirichlet problem for second order divergence form elliptic operators with variable coefficients: the simple layer potential ansatz, Abstract and Applied Analysis, Vol. 2015, Article ID 276810, 11 pages DOI: 10.1155/2015/276810.


58. Caramuta P., Cialdea A., Silverio F., (2016) The convergence in $L^p$-norm of conjugate Laplace series, International Journal of Mathematics, Vol. 27, No. 6, 1650053 (16 pages) DOI:10.1142/S0129167X16500531.


59. Caramuta P., Cialdea A., Silverio F., (2016) The Abel summability of conjugate Laplace series of measures, Mediterranean Journal of Mathematics, 13, 3985-3999, DOI:10.1007/s00009-016-0728-2.


60. Caramuta P., Cialdea A., (2017) An application of the theory of self-conjugate differential forms to the Dirichlet problem for Cimmino system, Complex Variables and Elliptic Equations, 62, 919-937, DOI: 10.1080/17476933.2016.1253070.


61. Cialdea A., Silverio F., (2017) Riesz-type inequalities for conjugate differential forms, Journal of Mathematical Analysis and Applications, 448, 1513-1532, DOI: 10.1016/j.jmaa.2016.11.071.


62. Cialdea A., (2017) The Simple Layer Potential Approach to the Dirichlet Problem: an Extension to Higher Dimensions of Muskhelishvili Method and Applications, in Constanda, C., Dalla Riva, M., Lamberti, P.D., Musolino, P. (Eds.), Integral Methods in Science and Engineering, Volume 1, Birkhäuser, Berlin, 59-69.


63. Cialdea A., Maz'ya V., (2018) The $L^p$-dissipativity of first order partial differential operators, Complex Variables and Elliptic Equations, 63, 945-960. DOI: 10.1080/17476933.2017.1321638.


64. Cialdea A., (2018) Some new results in the theory of $L^p$-dissipativity, Bulletin of TICMI 22, 2, 83-90.


65. Cialdea A., Leonessa V., Malaspina A., (2019) Boundary behaviour of hypersingular potentials, Annali dell'Università di Ferrara, 65, 95-120. DOI: 10.1007/s11565-018-0310-x.


66. Cialdea A., (2019) Some new applications of the theory of conjugate differential forms, in Lindahl, K. et al. (Eds.) Analysis, Probability, Applications, and Computation, Trends in Mathematics. Research Perspectives, Birkhäuser, 97-106. DOI: 10.1007/978-3-030-04459-6.


67. Cialdea A., Maz'ya V., (2019) The $L^p$-dissipativity of certain differential and integral operators, in Kuchment, P., Semenov, E. (Eds.), Differential Equations, Mathematical Physics, and Applications. Selim Grigorievich Krein Centennial, Contemporary Mathematics, AMS.


68. Cialdea A., (2019) Completeness Theorems on the Boundary in Thermoelasticity, in Rogosin, S., Çelebi, A. (Eds) Analysis as a Life, Trends in Mathematics, Birkhäuser, Cham, 93-115.


69. Cialdea A., Nino, G., (2020) Completeness theorems for the Stokes system, Complex Variables and Elliptic Equations, 65, 74-86. DOI: 10.1080/17476933.2019.1652279.


70. Cialdea A., Leonessa V., Malaspina A., (2020) On the simple layer potential ansatz for the $n$-dimensional Helmholtz equation, in Boggiatto P. et al. (Eds) Advances in Microlocal and Time-Frequency Analysis. Applied and Numerical Harmonic Analysis. Birkhäuser, Cham, 157-168.


71. Cialdea A., Leonessa V., Malaspina A., (2020) On the double layer potential ansatz for the $n$-dimensional Helmholtz equation with Neumann condition, Electronic Journal of Qualitative Theory of Differential Equations, 71, 1-11.


72. Cialdea A., Leonessa V., Malaspina A., (2020) On the simple layer potential ansatz for steady elastic oscillations, Lect. Notes TICMI, 21, 29-42.


73. Cialdea A., (2021) The scientific work of Vladimir Maz'ya, Analysis and Mathematical Physics,11, 143, DOI: 10.1007/s13324-020-00421-z.


74. Cialdea A., Maz'ya V., (2021) Criterion for the functional dissipativity of second order differential operators with complex coefficients, Nonlinear Analysis, (206) 112215, DOI: 10.1016/j.na.2020.112215.


75. Cialdea A., Maz'ya V., (2022) A survey of functional and $L^p$-dissipativity theory, Bulletin of Mathematical Sciences, 12, no. 2, Paper No. 2230003, 39 pp. . .


76. Cialdea A., Leonessa V., Malaspina A., (2022) On the traction problem for steady elastic oscillations equations: the double layer potential ansatz, Rendiconti del Circolo Matematico di Palermo. DOI: 10.1007/s12215-022-00775-2.


77. Cialdea A., Maz'ya V., (2022) The functional dissipativity of certain systems of partial differential equations, Journal of Mathematical Sciences, 268, No. 3, 291-309.


78. Cialdea A., Maz'ya V., (2023) Criterion for the functional dissipativity of the Lamé operator, European Journal of Mechanics - A/Solids, 100, 104522.


79. Cialdea A., (2023) The scientific work of Vladimir Maz'ya. In: Golberg A., Kuchment, P., Shoikhet, D. (Eds) Harmonic analysis and partial differential equations - in honor of Vladimir Maz'ya, Birkhäuser/Springer, Cham, 1-14.


80. Cialdea A., (2023) A class of harmonic differential forms, Bulletin of Computational Applied Mathematics, 11, no.1, 161-186.


81. Cialdea A., (2024) New completeness theorems on the boundary in Elasticity, to appear on Journal of Mathematical Analysis and Applications.

Monografie

1. Cialdea, A. (2010), The $L^P$-dissipativity of partial differential operators. Lecture Notes of TICMI, Vol. 11, Tbilisi.


2. Cialdea, A., Maz'ya V., (2014), Semi-bounded Differential Operators, Contractive Semigroups and Beyond, Operator Theory: Advances and Applications, 243, Birkhäuser, Berlin.

Volumi editi da Alberto Cialdea

1. Cialdea, A. (2001). Homage to Gaetano Fichera, Quaderni di Matematica, Vol. 7, Aracne, Roma.


2. Cialdea A., Lanzara F., Ricci P.E. (2009). Analysis, Partial Differential Equations and Applications, Operator Theory, Advances and Applications, Vol. 193, Birkhäuser, Berlin.


3. Cialdea A., Dattoli G., He M.X., Srivastava H.M. (2010). Advanced Special Functions and Solutions of PDEs, Lecture Notes of Seminario Interdisciplinare di Matematica, Vol. 9.