On the Solvability of Degenerate Quasilinear Parabolic Equations of Second Order

Authors
Liu, Zhenhai
Citation
Liu, Zhenhai, On the Solvability of Degenerate Quasilinear Parabolic Equations of Second Order, Acta mathematica Sinica. English series (Print) , 16(2), 2000, pp. 313-324
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
16
Issue
2
Year of publication
2000
Pages
313 - 324
Database
ACNP
SICI code
Abstract
In this paper, we consider nonlinear degenerate quasilinear parabolic initial boundary value problems of second order. Using results from the theory of pseudomonotone operators, we show that there exists at least one weak solution in a suitable weighted Sobolev space.