The issue of regularity has played a central role in the theory of Partial Differential Equations almost since its inception, and despite the tremendous advances made it still remains a very fruitful research field. In particular considerable strides have been made in regularity estimates for degenerate and singular elliptic and parabolic equations over the last several years, and in many unexpected and challenging directions. Because of all these recent results, it seemed high time to create an overview that would highlight emerging trends and issues in this fascinating research topic in a proper and effective way. The course aimed to show the deep connections between these topics and to open new research directions through the contributions of leading experts in all of these fields.
Most articles published in this book, which consists of 32 articles in total, written by highly distinguished researchers, are in one way or another related to the scientific works of Herbert Amann.
Regularity of solutions is an important part of the theory of partial differential equations. In this text, the regularity of solutions to elliptic and parabolic problems in Lipschitz domains is investigated.
Approach your problems from the It isn't that they can't see the right end and begin with the solution.
This volume collects most of the lectures and communications presented to the International Conference which took place in Nancy in March 1988.
MR3539473 A. V. Pogorelov, The Dirichlet problem for the multidimensional analogue of the MongeAmp`ere equation ... MR3246039 L. Silvestre and E. V. Teixeira, Regularity estimates for fully non linear elliptic equations which are ...
Haim Brezis has made significant contributions in the fields of partial differential equations and functional analysis, and this volume collects contributions by his former students and collaborators in honor of his 60th anniversary at a ...
This volume collects most of the lectures and communications presented to the International Conference which took place in Nancy in March 1988. The main issues addressed were: nonlinear elliptic equations...
... -Estimates for Solutions of Nonlinear Elliptic and Parabolic Boundary - Value Problems A. A. Arkhipova Contents INTRODUCTION $ 1 . ... Boundary regularity for solutions of elliptic Neumann - type problems $ 4 . Parabolic reverse ...
Therefore, in this book, maximal regularity estimates for approximations of solutions of parabolic differential equations by finite elements or finite differences are investigated.
CITTI, G.; PASCUCCI, A.; PoliDoRo, S., On the regularity of solutions to a nonlinear ultraparabolic equation arising in mathematical finance ... FollAND, G.B., Subelliptic estimates and function spaces on nilpotent Lie groups, Ark. Mat.