Chin-Yuan Lin
Abstract:
This article concerns the nonlinear evolution equation
in a real Banach space X, where the nonlinear, time-dependent,
and multi-valued operator
has a time-dependent domain D(A(t)).
It will be shown that, under certain assumptions on A(t),
the equation has a strong solution. Illustrations are
given of solving quasi-linear partial differential equations
of parabolic type with time-dependent boundary conditions.
Those partial differential equations are studied to a
large extent.
Submitted June 15, 2011. Published July 18, 2011.
Math Subject Classifications: 47B44, 47H20, 35J25, 35K20.
Key Words: Dissipative operators; evolution equations;
parabolic and elliptic equations.
Show me the PDF file (387 KB), TEX file, and other files for this article.
Chin-Yuan Lin Department of Mathematics National Central University Chung-Li 320, Taiwan email: cylin@math.ncu.edu.tw |
Return to the EJDE web page