Stability and instability for semilinear parabolic equations with free boundary conditions

DOI10.1016/0362-546X(84)90012-9zbMath0549.35116MaRDI QIDQ3343076

Yoshiaki Hashimoto, Yasuo Niikura, Yoshio Yamada

Publication date: 1984

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

zbMATH Keywords

instabilitycomparison principlefree boundary problemconditional stabilitysemilinear parabolic equationpositively invariant manifold

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Initial-boundary value problems for second-order parabolic equations (35K20) Free boundary problems for PDEs (35R35)

Cites Work

• Geometric theory of semilinear parabolic equations
• Asymptotic estimates for the plasma problem
• On the Lyapunov-stability of stationary solutions of semilinear parabolic differential equations
• Une méthode numérique en bifurcation-application à un problème à frontière libre de la physique des plasmas
• Regularity in elliptic free boundary problems. I
• On a free boundary problem arising in plasma physics
• A free boundary problem and a related semilinear equation
• Remarks on a free Boundary Value Problem Arising in Plasma Physics
• Non-uniqueness in the equilibrium shape of a confined plasma^†
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