Singular solutions with exponential growth to Protter's problems

DOI10.3103/S1055134413030073zbMath1278.35008OpenAlexW2068879450MaRDI QIDQ385739

Mohammad Hasan, H. S. Yoon

Publication date: 3 December 2013

Published in: Siberian Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1055134413030073

zbMATH Keywords

generalized solutionDarboux problemsexponential singularitysemi-Fredholm solvability

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Ill-posed problems for PDEs (35R25) Analyticity in context of PDEs (35A20)

Cites Work

• Exact asymptotic expansion of singular solutions for the \((2 + 1)\)-D Protter problem
• Protter-Morawetz multidimensional problems
• Asymptotic expansions of singular solutions for \((3+1)\)-D Protter problems
• New singular solutions of Protter's problem for the 3D wave equation
• The Goursat and Darboux problems for the three-dimensional wave equation
• On M. H. Protter problems for the wave equation in \(\mathbb{R}^ 3\)
• The inverse problem for a general class of multidimensional hyperbolic equations
• Frankl–Morawetz Problem in $\mathbb{R}^3 $
• A Nonlocal Regularization of Some Over-Determined Boundary-Value Problems I
• Singular solutions of protter's problem for the 3 + 1;-D wave equation
• MIXED EQUATIONS AND TRANSONIC FLOW
• ON THE CONJUGATE DARBOUX-PROTTER PROBLEMS FOR THE TWO DIMENSIONAL WAVE EQUATIONS IN THE SPECIAL CASE
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