Establishes well-posedness in history space, Lipschitz and weak-star robustness, and compact global attractors with upper semicontinuity for semilinear reaction-diffusion equations with measure-valued delays.
Temam,Infinite-Dimensional Dynamical Systems in Mechanics and Physics, 2 nd ed., Applied Mathematical Sciences, vol
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The authors prove a maximum principle for positivity and domain invariance plus local asymptotic stability via relative energy for a class of nonlinear coupled thermo-reaction-phase parabolic systems.
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Kernel-Robust Dynamics for Reaction-Diffusion Equations with Measure-Valued Delay
Establishes well-posedness in history space, Lipschitz and weak-star robustness, and compact global attractors with upper semicontinuity for semilinear reaction-diffusion equations with measure-valued delays.
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Maximum principle and local stability for a class of coupled nonlinear thermo--reaction--phase systems
The authors prove a maximum principle for positivity and domain invariance plus local asymptotic stability via relative energy for a class of nonlinear coupled thermo-reaction-phase parabolic systems.