Nodal properties of solutions of parabolic equations

DOI10.1216/RMJM/1181072953zbMath0727.35005OpenAlexW1964913633MaRDI QIDQ803383

Sigurd B. Angenent

Publication date: 1991

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072953

zbMATH Keywords

spectral theorynonlinear diffusion equationsnodal setgeometric heat equationscalar parabolic equation

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Spectral theory and eigenvalue problems for partial differential equations (35P99) Heat equation (35K05) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items (5)

Nonlinear heat conduction through an externally heated radiant plasma: Background analysis for a numerical study ⋮ Sets of unique continuation for heat equation ⋮ Multiple nodal solutions having shared componentwise nodal numbers for coupled Schrödinger equations ⋮ Regularity of the interfaces with sign changes of solutions of the one-dimensional porous medium equation ⋮ Appearance of stable minimal spheres along the Ricci flow in positive scalar curvature

Cites Work

• Some infinite-dimensional Morse-Smale systems defined by parabolic partial differential equations
• The normalized curve shortening flow and homothetic solutions
• The heat equation shrinking convex plane curves
• The Dynamics of Rotating Waves in Scalar Reaction Diffusion Equations
• Gestaltaussagen über Lösungen parabolischer Differentialgleichungen.
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