Constructing weak solutions in a direct variational method and an application of varifold theory

DOI10.1006/jdeq.1998.3485zbMath0939.35084OpenAlexW2064149191MaRDI QIDQ1275319

Koji Kikuchi

Publication date: 5 July 2000

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

Full work available at URL: http://hdl.handle.net/10077/4272

zbMATH Keywords

Rothe methodpotential operatorsemidiscretization in time

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Initial-boundary value problems for higher-order parabolic equations (35K35)

Cites Work

• A varifold solution to the nonlinear equation of motion of a vibrating membrane
• Existence and asymptotic behavior of weak solutions to semilinear hyperbolic systems with damping terms
• Existence and asymptotic behavior of weak solutions to strongly damped semilinear hyperbolic systems
• On the first variation of a varifold
• Models of phase transitions
• Curvature-Driven Flows: A Variational Approach
• On application of direct variational methods to the solution of parabolic boundary value problems of arbitrary order in the space variables
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