Existence and uniqueness of energy weak solutions to boundary and obstacle problems for quasilinear elliptic-parabolic equations

Alexander V. Ivanov and Jose Francisco Rodrigues

Contact the author: Please use for correspondence this email.
Submission date: 23. Jan. 1999
Pages: 10
published in: Journal of mathematical sciences, 109 (2000) 5, p. 1851-1866 
DOI number (of the published article): 10.1023/A:1014488123746
Bibtex
with the following different title: Existence and uniqueness of a weak solution to the initial mixed boundary value problem for quasilinear elliptic-parabolic equations
Download full preprint: PDF (284 kB), PS ziped (135 kB)

Abstract:
We prove existence and uniqueness of weak solutions to initial-boundary value problem and problem with inner obstacle for elliptic-parabolic equations



with a monotone nondecreasing function b. These equations arise in the theory of non-Newtonian filtation and mathematical glaciology.