Existence, uniqueness and positivity on a free-boundary high order diffusion cooperative system

DOI10.1016/J.RINAM.2021.100170zbMath1472.35215OpenAlexW3186042745MaRDI QIDQ1979988

José Luis Díaz Palencia, Antonio Naranjo Redondo

Publication date: 3 September 2021

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

Full work available at URL: https://doi.org/10.1016/j.rinam.2021.100170

zbMATH Keywords

instabilitiesbi-LaplacianHeaviside initial condition

Mathematics Subject Classification ID

PDEs with low regular coefficients and/or low regular data (35R05) Initial value problems for higher-order parabolic systems (35K46)

Related Items (3)

New explicit and approximate solutions of the Newton-Schrödinger system ⋮ Global stability and Hopf bifurcation of a delayed cooperative species model with density-dependent diffusion ⋮ Traveling waves solutions for a cooperative system with nonlinear advection and nonlinear KPP term

Cites Work

• One-dimensional symmetry and Liouville type results for the fourth order Allen-Cahn equation in \(\mathbb{R}^N\)
• On the transition from the Ginzburg-Landau equation to the extended Fisher-Kolmogorov equation
• Long-time behavior of a cooperative periodic-parabolic system: temporal degeneracy versus spatial degeneracy
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• Regional blow-up for a higher-order semilinear parabolic equation
• On a spectrum of blow–up patterns for a higher–order semilinear parabolic equation
• Qualitative Analysis of a Cooperative Reaction-Diffusion System in a Spatiotemporally Degenerate Environment
• NON-OSCILLATION OF SOLUTIONS OF THE EQUATIONx⁽ⁿ⁾+p₁(t)x⁽ⁿ⁻¹⁾+ … +p_n(t)x= 0
• Spatial patterns. Higher order models in physics and mechanics

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