Heat equations with memory

DOI10.1016/j.na.2005.02.033zbMath1153.35309OpenAlexW2079862622MaRDI QIDQ999501

Zhang, X., Jiong-min Yong

Publication date: 4 February 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2005.02.033

zbMATH Keywords

memory kernelheat equation with memoryspeed of propagation

Mathematics Subject Classification ID

Related Items (6)

On the stabilization of a non-dissipative Cauchy viscoelastic problem ⋮ Optimal control of a parabolic equation with memory ⋮ Finite speed of propagation and waiting time for local solutions of degenerate equations in viscoelastic media or heat flows with memory ⋮ Newtonian law with memory ⋮ Global solvability for the heat equation with boundary flux governed by nonlinear memory ⋮ Singularity analysis for a semilinear integro-differential equation with nonlinear memory boundary

Cites Work

• A general theory of heat conduction with finite wave speeds
• Energy inequalities and finite propagation speed of the Cauchy problem for hyperbolic equations withconstantly multiple characteristics
• On the Linear Theory of Heat Conduction for Materials with Memory
• On heat conduction in materials with memory
• A hyperbolic Stefan problem
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