Strong and Mild Extrapolated $L^{2}$-Solutions to the Heat Equation with Constant Delay

DOI10.1137/130937111zbMath1331.35357arXiv1401.5652OpenAlexW2111373909MaRDI QIDQ5264955

Michael Pokojovy, Reinhard Racke, Denis Ya. Khusainov

Publication date: 21 July 2015

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.5652

zbMATH Keywords

heat equationstrong solutionswell-posednessmild solutionsill-posednessdelay in highest-order terms

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Initial-boundary value problems for second-order parabolic equations (35K20) Ill-posed problems for PDEs (35R25) Partial functional-differential equations (35R10) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Weak solutions to PDEs (35D30) Strong solutions to PDEs (35D35)

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