Semi-Fredholm solvability in the framework of singular solutions for the (3+1)-D Protter-Morawetz problem

DOI10.1155/2014/260287zbMath1470.35225OpenAlexW1487861838WikidataQ59037113 ScholiaQ59037113MaRDI QIDQ1722481

Todor Popov, Allen M. Tesdall, Nedyu Iv. Popivanov

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/260287

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) A priori estimates in context of PDEs (35B45) Asymptotic expansions of solutions to PDEs (35C20)

Related Items (4)

Solutions with exponential singularity for (3 + 1)-D Protter problems ⋮ New representation formula for the solution of a Darboux-Goursat problem ⋮ Nonexistence of nontrivial generalized solutions for 2-D and 3-D BVPs with nonlinear mixed type equations ⋮ On the Riemann function

Cites Work

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• Protter-Morawetz multidimensional problems
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• Correctness of multi-dimensional Darboux problems for the wave equation
• 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 \(\mathbb{R}^ 3\)
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• Local boundary conditions for dissipative symmetric linear differential operators
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