The zero number diminishing property under general boundary conditions

DOI10.1016/j.aml.2019.03.016zbMath1447.35176arXiv1809.00309OpenAlexW2923171770WikidataQ128189762 ScholiaQ128189762MaRDI QIDQ2274703

Bendong Lou

Publication date: 1 October 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.00309

zbMATH Keywords

Robin boundary conditions, free boundary conditionszero number diminishing property

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items

Convergence to the grim reaper for a curvature flow with unbounded boundary slopes ⋮ On a curvature flow in a band domain with unbounded boundary slopes

Cites Work

• Unnamed Item
• Liouville-type theorems and asymptotic behavior of nodal radial solutions of semilinear heat equations
• Some infinite-dimensional Morse-Smale systems defined by parabolic partial differential equations
• A strong unique continuation theorem for parabolic equations
• Convergence in time-periodic quasilinear parabolic equations in one space dimension
• A diffusive logistic model with a free boundary in time-periodic environment
• Spreading-Vanishing Dichotomy in the Diffusive Logistic Model with a Free Boundary
• The zero set of a solution of a parabolic equation.
• Convergence in general periodic parabolic equations in one space dimension
• Unique Continuation for Parabolic Operators. II
• Asymptotic periodicity of positive solutions of reaction diffusion equations on a ball.