Global classical solutions to \(u_t-\Delta(u^{2m+1})+\lambda u=f\).

DOI10.1016/0022-0396(80)90008-XzbMath0448.34018OpenAlexW1990144979MaRDI QIDQ1146802

Tokumori Nanbu, Yukiyoshi Ebihara

Publication date: 1980

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(80)90008-x

zbMATH Keywords

global existenceGalerkin procedure

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear ordinary differential equations and systems (34A34)

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Cites Work

• A necessary and sufficient condition for the existence of an interface in flows through porous media
• The Cauchy problem for an equation in the theory of infiltration
• Regularity properties of flows through porous media: The interface
• Regularity Propeties of Flows Through Porous Media
• Regularity Properties of Flows Through Porous Media: A Counterexample
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