Name
Title | ||
|---|---|---|
Existence for Nonlinear Evolution Equations and Application to Degenerate Parabolic Equation. |
Abstract | ||
|---|---|---|
We consider an abstract Cauchy problem for a doubly nonlinear evolution equation of the form (d/dt) A(u) + B(u) (sic) f(t) in V', t epsilon (0, T], where T is a real reflexive Banach space, A and B are maximal monotone operators (possibly multivalued) from A to its dual V'. In view of some practical applications, we assume that A and B are subdifferentials. By using the back difference approximation, existence is established, and our proof relies on the continuity of A and the coerciveness of B. As an application, we give the existence for a nonlinear degenerate parabolic equation. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1155/2014/567241 | JOURNAL OF APPLIED MATHEMATICS |
DocType | Volume | ISSN |
Journal | 2014 | 1110-757X |
Citations | PageRank | References |
0 | 0.34 | 1 |
Authors | ||
2 | ||