Ram U. Verma
Abstract:
First a general framework for the Yosida approximation is introduced
based on the relative H-maximal monotonicity model, and then it is
applied to the solvability of a general class of first-order nonlinear
evolution equations. The obtained results generalize and unify a wide
range of results to the context of the solvability of first-order
nonlinear evolution equations in several settings.
Submitted June 5, 2009. Published July 10, 2009.
Math Subject Classifications: 49J40, 65B05.
Key Words: Generalized first-order evolution equations; variational problems;
maximal monotone mapping; relative H-maximal monotone mapping;
relative H-maximal accretive mapping; generalized resolvent operator;
general Yosida approximations
Show me the PDF file (231 KB), TEX file, and other files for this article.
Ram U. Verma Florida Institute of Technology Department of Mathematical Sciences Melbourne, FL 32901, USA email: verma99@msn.com |
Return to the EJDE web page