Hadamard's example and solvability of the mixed Cauchy problem for the multidimensional Gellerstedt equation

DOI10.1515/jiip-2022-0023OpenAlexW4283659591MaRDI QIDQ2101121

Alexander V. Rogovoy, Sergey I. Kabanikhin, Tynysbek Sh. Kal'menov

Publication date: 28 November 2022

Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip-2022-0023

zbMATH Keywords

solvabilityBessel functionsregular solutionGellerstedt equationmixed Cauchy problem

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Strong solutions to PDEs (35D35) Initial value problems for PDEs of mixed type (35M11)

Cites Work

• A criterion for the strong solvability of the mixed Cauchy problem for the Laplace equation
• Regularization of the continuation problem for elliptic equations
• Definitions and examples of inverse and ill-posed problems
• The mathematical approach to the sonic barrier
• A uniqueness threorem for Frankl's problem
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