The one dimensional parabolic p(x)-Laplace equation

Author:

Tersenov Alkis S.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Reference12 articles.

1. Acerbi E., Mingione G., Seregin G.A.: Regularity results for parabolic systems related to a class of non-Newtonian fluids. Ann. Inst. H. Poincare Anal. Non Lineaire 21(1), 25–60 (2004)

2. Alkhutov Yu.A., Zhikov V.V.: Existence and uniqueness theorems for solutions of parabolic equations with a variable nonlinearity exponent (Russian). Mat. Sb. 205(3), 3–14 (2014)

3. Antontsev S.N., Shmarev S.I.: Existence and uniqueness for doubly nonlinear parabolic equations with nonstandard growth conditions. Differ. Equ. Appl. 4(1), 67–94 (2012)

4. Antontsev S.N., Shmarev S.I.: Doubly degenerate parabolic equations with variable nonlinearity II: Blow-up and extinction in a finite time. Nonlinear Anal. 95, 483–498 (2014)

5. Di Benedetto E.: Degenerate Parabolic Equations. Springer, New York (1993)

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