Local solutions to quasilinear parabolic equations without growth restrictions

DOI10.4171/ZAA/706zbMath0851.35051MaRDI QIDQ1915223

Volker Pluschke

Publication date: 13 June 1996

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

zbMATH Keywords

local solutionssemidiscretization in time\(L_ \infty\)-estimatesnonlinear Gronwall lemmaquasilinear parabolic boundary value problems

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Initial-boundary value problems for second-order parabolic equations (35K20)

Related Items (5)

Convergence of Rothe's method in Hölder spaces. ⋮ Full discretization to an hyperbolic equation with nonlocal coefficient ⋮ Convergence of Rothe's method for fully nonlinear parabolic equations ⋮ Local Solutions of Weakly Parabolic Quasilinear Differential Equations ⋮ Local Solutions of Weakly Parabolic Semilinear Differential Equations

Cites Work

• On the discrete analogues of some generalizations of Gronwall's inequality
• A new proof of de Giorgi's theorem concerning the regularity problem for elliptic differential equations
• L^PBounds of solutions of reaction-diffusion equations
• Rothe's Method for Semilinear Parabolic Problems with Degeneration
• Local existence of general nonlinear parabolic systems
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