Similarity solutions of a higher order nonlinear diffusion equation

DOI10.1016/0362-546X(91)90191-3zbMath0754.34004OpenAlexW2068844797MaRDI QIDQ4008884

John Bryce McLeod, Francisco Bernis

Publication date: 27 September 1992

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(91)90191-3

zbMATH Keywords

momentsnonlinear parabolic equationexistenceuniquenesszerosasymptotic behavioursimilarity solutionsfourth order differential equationboundedness of the supportsoptimality of asymptotic rates

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear ordinary differential equations and systems (34A34) Asymptotic properties of solutions to ordinary differential equations (34D05) Higher-order parabolic equations (35K25)

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Cites Work

• Semilinear equations in \({\mathbb{R}}^ N\) without condition at infinity
• Inequalities involving derivatives
• The Cauchy Problem for u t = Δu m When 0 < m < 1
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