Singular solutions of protter's problem for the 3 + 1;-D wave equation

DOI10.1080/1065246032000141924zbMath1059.35075OpenAlexW2025044715MaRDI QIDQ4470653

Todor Popov, Nedyu Iv. Popivanov

Publication date: 15 June 2004

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/1065246032000141924

zbMATH Keywords

generalized solutionanalogues of Darboux problems

Mathematics Subject Classification ID

Related Items (7)

Asymptotic expansions of singular solutions for \((3+1)\)-D Protter problems ⋮ Singular solutions with exponential growth to Protter's problems ⋮ Solutions with exponential singularity for (3 + 1)-D Protter problems ⋮ Semi-Fredholm solvability in the framework of singular solutions for the (3+1)-D Protter-Morawetz problem ⋮ Exact asymptotic expansion of singular solutions for the \((2 + 1)\)-D Protter problem ⋮ Protter-Morawetz multidimensional problems ⋮ New representation formula for the solution of a Darboux-Goursat problem

Cites Work

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• On the Riemann-Green function
• Correctness of multi-dimensional Darboux problems for the wave equation
• The Goursat and Darboux problems for the three-dimensional wave equation
• On M. H. Protter problems for the wave equation in \(\mathbb{R}^ 3\)
• Some problems for multidimensional integro-differential equations of hyperbolic type
• Frankl–Morawetz Problem in $\mathbb{R}^3 $
• A Nonlocal Regularization of Some Over-Determined Boundary-Value Problems I

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