Gershon Kresin – författare
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2 produkter
2 produkter
Maximum Principles and Sharp Constants for Solutions of Elliptic and Parabolic Systems
Inbunden, Engelska, 2012
1 604 kr
Skickas inom 11-20 vardagar
The main goal of this book is to present results pertaining to various versions of the maximum principle for elliptic and parabolic systems of arbitrary order. In particular, the authors present necessary and sufficient conditions for validity of the classical maximum modulus principles for systems of second order and obtain sharp constants in inequalities of Miranda-Agmon type and in many other inequalities of a similar nature. Somewhat related to this topic are explicit formulas for the norms and the essential norms of boundary integral operators. The proofs are based on a unified approach using, on one hand, representations of the norms of matrix-valued integral operators whose target spaces are linear and finite dimensional, and, on the other hand, on solving certain finite dimensional optimization problems. This book reflects results obtained by the authors, and can be useful to research mathematicians and graduate students interested in partial differential equations.
Del 1903 - Lecture Notes in Mathematics
Sharp Real-Part Theorems
A Unified Approach
Häftad, Engelska, 2007
324 kr
Skickas inom 10-15 vardagar
This volume contains a coherent point of view on various sharp pointwise inequalities for analytic functions in a disk in terms of the real part of the function on the boundary circle or in the disk itself. Inequalities of this type are frequently used in the theory of entire functions and in the analytic number theory.