Cauchy problem for \(\{\vec p;\vec h\}\)-parabolic equations with time-dependent coefficients

DOI10.1007/S11006-005-0036-9zbMath1077.35054OpenAlexW1973369562MaRDI QIDQ2387857

Vladyslav A. Litovchenko

Publication date: 5 September 2005

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11006-005-0036-9

zbMATH Keywords

fundamental solutionsystem of differential equationsgeneralized function of slow growthShilov parabolicity

Mathematics Subject Classification ID

Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial value problems for higher-order parabolic equations (35K30)

Related Items (7)

Nonlocal problem with impulsive action for parabolic equations of the vector order ⋮ Parabolic by Shilov systems with variable coefficients ⋮ Cauchy problem for parabolic systems with convolution operators in periodic spaces ⋮ One method for the investigation of fundamental solution of the Cauchy problem for parabolic systems ⋮ Conjugate Cauchy problem for parabolic Shilov type systems with nonnegative genus ⋮ Fundamental solution of the Cauchy problem for \(\left\{\overrightarrow{p},\overrightarrow{h}\right\} \)-parabolic systems with variable coefficients ⋮ Modified Cauchy problem with impulse action for parabolic Shilov equations

Cites Work

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