Вклад Анджело Фавини в совместные двадцатилетние исследования (1996 - 2016)

Литература

1. Attalienti A., Romanelli S. On Some Classes of Analytic Semigroups on C([a,b]) Related to R or Gamma-Admissible Mappings. Evolution Equations, N.Y., M. Dekker, 1995, p. 29-34.
2. Barbu V., Favini A., Romanelli S. Degenerate Evolution Equations and Regularity of Their Associated Semigroups. Funkcialaj Ekvacioj, 1996, vol. 39, pp. 421-448.
3. Coclite G.M., Favini A., Gal C.G., Goldstein G.R., Goldstein J.A., Obrecht E., Romanelli S. The Role of Wentzell Boundary Conditions in Linear and Nonlinear Analysis. Advances in Nonlinear Analysis: Theory, Methods and Applications. 2009, vol. 3, pp. 279-292.
4. Coclite G.M., Favini A., Goldstein G.R., Goldstein J.A., Romanelli S. Continuous Dependence on the Boundary Conditions for the Wentzell Laplacian. Semigroup Forum, 2008, vol. 77, pp. 101-108. DOI: 10.1007/s00233-008-9068-2
5. Coclite G.M., Favini A., Goldstein G.R., Goldstein J.A., Romanelli S. Continuous Dependence in Hyperbolic Problems with Wentzell Boundary Conditions. Communications on Pure and Applied Analysis, 2014, vol. 13, pp. 419-433. DOI: 10.3934/cpaa.2014.13.419
6. Clement Ph., Timmermans C. On C_0-Semigroups Generated by Differential Operators Satisfying Ventcel's Boundary Conditions. Indagationes Mathematicae, 1986, vol. 89, pp. 379-387. DOI: 10.1016/1385-7258(86)90023-5
7. Feller W. The Parabolic Differential Equations and the Associated Semigroups of Transformations. Annals of Mathematics, 1952, vol. 55, no. 3, pp. 468-519. DOI: 10.2307/1969644
8. Favini A., Gal C.G., Goldstein G.R., Goldstein J.A., Romanelli S. The Non-Autonomous Wave Equation with General Wentzell Boundary Conditions. Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, 2005, vol. 135 A, pp. 317-329.
9. Favini A., Goldstein G.R., Goldstein J.A., Obrecht E., Romanelli S. The Laplacian with Generalized Wentzell Boundary Conditions. Evolution Equations: Applications to Physics, Industry, Life Sciences and Economics, Birkh'auser Verlag, 2003, vol. 55, pp. 169-180. DOI: 10.1007/978-3-0348-8085-5_13
10. Favini A., Goldstein G.R., Goldstein J.A., Obrecht E., Romanelli S. General Wentzell Boundary Conditions and Analytic Semigroups on W^{1,p}(0,1). Applicable Analysis, 2003, vol. 82, issue 9, pp. 927-935. DOI: 10.1080/00036810310001596601
11. Favini A., Goldstein G.R., Goldstein J.A., Obrecht E., Romanelli S. Elliptic Operators with General Wentzell Boundary Conditions, Analytic Semigroups and the Angle Concavity Theorem. Mathematische Nachrichten, 2010, vol. 283, pp. 1-18. DOI: 10.1002/mana.200910086
12. Favini A., Goldstein G.R., Goldstein J.A., Obrecht E., Romanelli S. Nonsymmetric Elliptic Operators with Wentzell Boundary Conditions in General Domains. Communications on Pure and Applied Analysis, 2016, vol. 15, pp. 2475-2487. DOI: 10.3934/cpaa.2016045
13. Favini A., Goldstein G.R., Goldstein J.A., Romanelli S. C_0-Semigroups Generated by Second Order Differential Operators with General Wentzell Boundary Conditions. Proceedings of the American Mathematical Society, 2000, vol. 128, pp. 1981-1989. DOI: 10.1090/S0002-9939-00-05486-1
14. Favini A., Goldstein G.R., Goldstein J.A., Romanelli S. Generalized Wentzell Boundary Conditions and Analytic Semigroups in C[0,1]. Semigroups of Operators: Theory and Applications, Birkhauser, Basel, 2000, pp. 125-130.
15. Favini A., Goldstein G.R., Goldstein J.A., Romanelli S. On Some Classes of Differential Operators Generating Analytic Semigroups. Evolution Equations and Their Applications in Physical and Life Sciences. N.Y., Marcel Dekker, 2000, pp. 105-120
16. Favini A., Goldstein G.R., Goldstein J.A., Romanelli S. The One Dimensional Wave Equation with Wentzell Boundary Conditions. Differential Equations and Control Theory. N.Y., Marcel Dekker, 2001, pp. 139-145.
17. Favini A., Goldstein G.R., Goldstein J.A., Romanelli S. Nonlinear Boundary Conditions for Nonlinear Second Order Differential Operators on C[0,1]. Archiv der Mathematik, 2001, vol. 76, pp. 391-400. DOI: 10.1007/PL00000449
18. Favini A., Goldstein G.R., Goldstein J.A., Romanelli S. The Heat Equation with Generalized Wentzell Boundary Conditions. Journal of Evolution Equations, 2002, vol. 2, pp. 1-19. DOI: 10.1007/s00028-002-8077-y
19. Favini A., Goldstein G.R., Goldstein J.A., Romanelli S. Degenerate Second Order Differential Operators Generating Analytic Semigroups in L^p and W^{1,p}. Mathematische Nachrichten, 2002, vol. 238, pp. 78-104. DOI: 10.1002/1522-2616(200205)238:1<78::AID-MANA78>3.0.CO;2-X
20. Favini A., Goldstein G.R., Goldstein J.A., Romanelli S. General Wentzell Boundary Conditions, Differential Operators and Analytic Semigroups in C[0,1]. Boletim da sociedade paranaense de matematica, 2002, vol. 20, no. 1-2, pp. 93-102.
21. Favini A., Goldstein G.R., Goldstein J.A., Romanelli S. The Heat Equation with Nonlinear General Wentzell Boundary Condition. Advances in Differential Equations, 2006, vol. 11, pp. 481-510.
22. Favini A., Goldstein G.R., Goldstein J.A., Romanelli S. Fourth Order Ordinary Differential Operators with General Wentzell Boundary Conditions. Differential Equations: Direct and Inverse Problems. Boca Raton, Chapman and Hall/CRC, 2006, vol. 251, pp. 61-74.
23. Favini A., Goldstein G.R., Goldstein J.A., Romanelli S. Classification of General Wentzell Boundary Conditions for Fourth Order Operators in One Space Dimension. Journal of Mathematical Analysis and Applications, 2007, vol. 333, pp. 219-235. DOI: 10.1016/j.jmaa.2006.11.058
24. Favini A., Goldstein G.R., Goldstein J.A., Romanelli S. Fourth Order Operators with General Wentzell Boundary Conditions. Rocky Mountain Journal of Mathematics, 2008, vol. 38, pp. 445-460. DOI: 10.1216/RMJ-2008-38-2-445
25. Favini A., Goldstein G.R., Goldstein J.A., Romanelli S. Wentzell Boundary Conditions in the Nonsymmetric Case. Mathematical Modelling of Natural Phenomena, 2008, vol. 3, pp. 143-147. DOI: 10.1051/mmnp:2008046
26. Favini A., Goldstein G.R., Goldstein J.A., Romanelli S. Selfadjointness of Degenerate Elliptic Operators on Higher Order Sobolev Spaces. Discrete and Continuous Dynamical Systems. Series S, 2011, vol. 4, pp. 581-593.
27. Favini A., Goldstein G.R., Goldstein J.A., Romanelli S. Analytic Feller Semigroups via Hypergeometric Series. African Diaspora Journal of Mathematics, 2014, vol. 17, pp. 1-9.
28. Favini A., Goldstein J.A., Romanelli S. An Analytic Semigroup Associated to a Degenerate Evolution Equation. Stochastic Processes and Functional Analysis, N.Y., Marcel Dekker, 1997, vol. 186, pp. 85-100.
29. Favini A., Goldstein J.A., Romanelli S. Analytic Semigroups on L^p_w(0,1) and on L^p(0,1) Generated by Some Classes of Second Order Differential Operators. Taiwanese Journal of Mathematics, 1999, vol. 3, pp. 181-210.
30. Favini A., Romanelli S. Degenerate Second Order Operators as Generators of Analytic Semigroups on C[0,+infty] or on L^p_{alpha-1/2}}(0,+infty). Approximation and Optimization. Proceedings of the International Conference on Approximation and Optimization. Vol. II, 1997, pp. 93-100.
31. Favini A., Romanelli S. Analytic Semigroups on C[0,1] Generated by Some Classes of Second Order Differential Operators. Semigroup Forum, 1998, vol. 56, pp. 362-372.
32. Goldstein G.R. Derivation and Physical Interpretation of General Boundary Conditions. Advances in Differential Equations, 2006, vol. 11, no. 4, pp. 457-480.
33. Goldstein J.A., Lin C.Y. Highly Degenerate Parabolic Boundary Value Problems. Differential and Integral Equations, 1989, vol. 2, no. 2, pp. 216-227.
34. Romanelli S., Favini A., Goldstein G.R., Goldstein J.A., Taira K. Degenerate Elliptic Operators with General Boundary Conditions and Feller Semigroups. Far East Journal of Applied Mathematics, 2006, vol. 24, pp. 1-22.
35. Taira K., Favini A., Romanelli S. Feller Semigroups Generated by Degenerate Elliptic Operators. Semigroup Forum, 2000, vol. 60, pp. 296-309. DOI: 10.1007/s002339910022
36. Taira K., Favini A., Romanelli S. Feller Semigroups and Degenerate Elliptic Operators with Ventcel' Boundary Conditions. Studia Mathematica, 2001, vol. 145, no. 1, pp. 17-53. DOI: 10.4064/sm145-1-2
37. Vespri V. Analytic Semigroups, Degenerate Elliptic Operators and Applications to Nonlinear Cauchy Problems. Annali di Matematica Pura ed Applicata, 1989, vol. 155, issue 1, pp. 353-388. DOI: 10.1007/bf01765950
38. Wentzell A.D. On Boundary Conditions for Multi-Dimensional Diffusion Processes. Theory of Probability and Its Applications, 1959, vol. 4, no. 2, pp. 164-177. DOI:10.1137/1104014