Existence and uniqueness of energy weak solutions to boundary and obstacle problems for quasilinear elliptic-parabolic equations
Alexander V. Ivanov and Jose Francisco Rodrigues
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Submission date: 23. Jan. 1999
published in: Journal of mathematical sciences, 109 (2000) 5, p. 1851-1866
DOI number (of the published article): 10.1023/A:1014488123746
with the following different title: Existence and uniqueness of a weak solution to the initial mixed boundary value problem for quasilinear elliptic-parabolic equations
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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.