An analog of the Cauchy problem for the inhomogeneous multidimensional polycaloric equation containing the Bessel operator

DOI10.1007/S10958-021-05334-1zbMath1461.35106OpenAlexW3148250402MaRDI QIDQ2663204

Yanyan Li

Publication date: 16 April 2021

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

Full work available at URL: https://doi.org/10.1007/s10958-021-05334-1

zbMATH Keywords

Bessel differential operatorErdélyi-Kober operatorpolycaloric equation

Mathematics Subject Classification ID

Initial value problems for higher-order parabolic equations (35K30) Boundary value problems for linear higher-order PDEs (35G15) Higher-order parabolic equations (35K25) Singular parabolic equations (35K67) Initial-boundary value problems for linear higher-order PDEs (35G16)

Cites Work

• On a singular parabolic equation related to axially symmetric heat potentials
• Multidimensional generalized Erdélyi-Kober operator and its application to solving Cauchy problems for differential equations with singular coefficients
• Cauchy's problem for a singular parabolic partial differential equation
• ABOUT SOME GENERALIZATIONS OF THE PROPERTIES OF THE ERD´ELYI-KOBER OPERATOR AND THEIR APPLICATION
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