On the fundamental solution of a \(D_B \)-hyperbolic operator with a Bessel operator in time

DOI10.1134/s1995080223080383MaRDI QIDQ6180839

Lev N. Lyakhov, K. S. Yeletskikh, S. A. Roshchupkin

Publication date: 22 January 2024

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

fundamental solutionhyperbolic equationBessel operatorBessel function of first kind\(B\)-hyperbolic equation\(D_B\)-Bessel operator\(D_B\)-hyperbolic equation

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Higher-order hyperbolic equations (35L25)

Cites Work

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• On a Kipriyanov problem for a singular ultrahyperbolic equation
• A priori estimate for solutions of singular \(B\)-elliptic pseudodifferential equations with Bessel \(\partial_B\)-operators
• Full Fourier-Bessel transform and the algebra of singular pseudodifferential operators
• Fundamental solutions of singular differential equations with a Bessel \(D_{B}\) operator
• Formulas for the solution of the Cauchy problem for a singular wave equation with Bessel time operator
• Pseudoshift and the fundamental solution of the Kipriyanov \(\Delta_B\)-operator
• The construction of Dirichlet and de la Vallée-Poussin–Nikol’skiĭ kernels for $\mathrm {j}$-Bessel Fourier integrals
• ON A CLASS OF ONE-DIMENSIONAL SINGULAR PSEUDODIFFERENTIAL OPERATORS

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