Strong solutions of doubly nonlinear parabolic equations

DOI10.4171/ZAA/1456zbMath1239.35062OpenAlexW2083825274MaRDI QIDQ415187

Aleš Matas, Jochen Merker

Publication date: 11 May 2012

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/1456

zbMATH Keywords

regularitystrong solutionsdoubly nonlinear evolution equationselliptic-parabolic problems

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35)

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Cites Work

• Unnamed Item
• Existence of weak solutions to doubly degenerate diffusion equations.
• Degenerate parabolic equations
• Existence results for doubly nonlinear higher order parabolic equations on unbounded domains
• Quasilinear elliptic-parabolic differential equations
• Elliptic partial differential equations of second order
• A pseudo-monotonicity adapted to doubly nonlinear elliptic-parabolic equations
• \(L^ 1\)-contraction and uniqueness for quasilinear elliptic-parabolic equations
• Sur la résolution d'une équation et d'une inéquation parabolique non linéaires
• On a Class of Nonlinear Initial Value Problems in Hilbert Spaces
• Existence for Nonlinear Volterra Equations in Hilbert Spaces
• Implicit Degenerate Evolution Equations and Applications