The classes \(B_{m,l}\) and Hölder continuity for doubly degenerate parabolic equations

DOI10.1007/BF02362943zbMath0830.35021MaRDI QIDQ1261280

A. V. Ivanov

Publication date: 1 September 1993

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

weak solutionsHölder estimatesquasilinear doubly degenerate parabolic equations

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Weak solutions to PDEs (35D30) Quasilinear parabolic equations (35K59)

Related Items

Geometric estimates for doubly nonlinear parabolic PDEs, Hölder estimates for a natural class of equations of the type of fast diffusion, Regularity theory for the \((m,l)\)-Laplacian parabolic equation, \( {\mathfrak{B}}_1\) classes of De Giorgi, Ladyzhenskaya, and Ural'tseva and their application to elliptic and parabolic equations with nonstandard growth, Existence and uniqueness of a regular solution of the Cauchy-Dirichlet problem for a class of doubly nonlinear parabolic equations, Hölder estimates for equations of slow and normal diffusion type, Existence and uniqueness of a regular solution of the Cauchy-Dirichlet problem for the equation of turbulent filtration, Gradient estimates for doubly nonlinear parabolic equations, Regularity of solutions of parabolic equations with a double nonlinearity and a weight

Cites Work

• Hölder estimates for solutions of uniformly degenerate quasilinear parabolic equations
• On the local behavior of solutions of singular parabolic equations
• Étude d'une équation doublement non linéaire
• Sur la résolution de certaines équations paraboliques non linéaires
• Addendum to “Holder estimates for nonlinear degenerate parabolic Systems”.
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