Boundary characteristic point regularity for semilinear reaction-diffusion equations: Towards an ODE criterion
V.A. Galaktionov And V. Maz'ya
TL;DR
This paper investigates the regularity of boundary characteristic points in semilinear heat equations and proposes an ODE-based criterion to determine regularity, with extensions to higher-order problems.
Contribution
It introduces an ODE criterion for boundary point regularity in semilinear heat equations and discusses extensions to higher-order parabolic equations.
Findings
Established an ODE criterion for boundary regularity.
Extended analysis to higher-order semilinear parabolic problems.
Provided theoretical insights into boundary point behavior.
Abstract
Boundary characteristic point regularity is studied for a class of semilinear heat equations and an ODE criterion of regularity is obtained. Extensions to higher-order semilinear parabolic problems are discussed.
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Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering · Differential Equations and Numerical Methods · Stability and Controllability of Differential Equations