TY - JOUR
A2 - Primicerio, Mario
AU - Su, Ning
AU - Zhang, Li
PY - 2014
DA - 2014/04/24
TI - Existence for Nonlinear Evolution Equations and Application to Degenerate Parabolic Equation
SP - 567241
VL - 2014
AB - We consider an abstract Cauchy problem for a doubly nonlinear evolution equation of the form d/dt𝒜u+ℬu∋ft inV′, t∈0, T, where V is a real reflexive Banach space, 𝒜 and ℬ are maximal monotone operators (possibly multivalued) from V 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.
SN - 1110-757X
UR - https://doi.org/10.1155/2014/567241
DO - 10.1155/2014/567241
JF - Journal of Applied Mathematics
PB - Hindawi Publishing Corporation
KW -
ER -