Viscosity Solutions: An Introduction to the basics of the theory

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Baydil, Banu (2002) Viscosity Solutions: An Introduction to the basics of the theory. [Thesis]

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Abstract

In this work, concepts that appear in the basic theory of viscosity solutions theory is surveyed. Structures of sub and super di.erentials and sub and super semijets, and concepts of generalized second derivative, generalized 'maximum principle' and generalized 'comparison principle' are studied. Basic properties of semiconvex functions and sup (Jensen's) convolutions are presented. Existence and uniqueness of solutions of the Dirichlet Problem for first and second order nonlinear elliptic partial differential equations is studied.
Item Type: Thesis
Uncontrolled Keywords: Viscosity solutions. -- Nonlinear elliptic partial differential equations. -- Maximum principles. -- Comparison theorems. -- Perron's method
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics
Faculty of Engineering and Natural Sciences
Depositing User: IC-Cataloging
Date Deposited: 18 Apr 2008 11:19
Last Modified: 26 Apr 2022 09:41
URI: https://research.sabanciuniv.edu/id/eprint/8140

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