Solvability of the Cauchy problem for a parabolic equation with unbounded coefficients

DOI10.1007/S10958-015-2587-YzbMath1332.35138OpenAlexW1915309503MaRDI QIDQ905378

M. F. Cherepova

Publication date: 19 January 2016

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-015-2587-y

zbMATH Keywords

Cauchy problemsolvabilityparabolic equationunbounded initial data

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for second-order parabolic equations (35K15)

Related Items (1)

Regularity of solution to the Cauchy problem for parabolic equation in the Dini space

Cites Work

• The Cauchy problem for parabolic equations with unbounded coefficients
• Regularity of the solution of the Cauchy problem for a higher-order parabolic equation
• Tikhonov-Petrovskii problem for second-order parabolic equations
• Su alcune proprieta dell'integrale di Poisson relativo ad una equazione parabolica di ordine 2m a coefficienti non costanti
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