Huygens principle for singular hyperbolic equations

DOI10.1134/S1995080220050078zbMath1450.35178OpenAlexW3042957741MaRDI QIDQ2206682

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

Publication date: 28 October 2020

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

Full work available at URL: https://doi.org/10.1134/s1995080220050078

zbMATH Keywords

Bessel operator\(B\)-hyperbolic equation\(F_B\)-transformBessel \(j\)-functionsingular analogue of the Ibragimov-Mamontov equation

Mathematics Subject Classification ID

Initial value problems for second-order hyperbolic equations (35L15) Geometric optics (78A05) Singular hyperbolic equations (35L81)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Singular Ibragimov-Mamontov type equations
• The mixed Fourier-Bessel transform of a radial Bessel \(j\)-function
• Eine Klasse Huygensscher Differentialgleichungen und ihre Integration
• The construction of Dirichlet and de la Vallée-Poussin–Nikol’skiĭ kernels for $\mathrm {j}$-Bessel Fourier integrals
• ON THE CAUCHY PROBLEM FOR THE EQUATION $ u_{tt}-u_{xx}-\sum_{i,j=1}^{n-1}a_{ij}(x-t)u_{y_iy_j}=0$
• ON A CLASS OF ONE-DIMENSIONAL SINGULAR PSEUDODIFFERENTIAL OPERATORS

This page was built for publication: Huygens principle for singular hyperbolic equations