On the uniqueness of generalized and quasi-regular solutions to equations of mixed type in \(\mathbb{R}^{3}\)

DOI10.3103/S1055134411040043zbMathNoneMaRDI QIDQ265886

T. D. Hristov, Manfred Friedrich Schneider, Nedyu Iv. Popivanov

Publication date: 13 April 2016

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

zbMATH Keywords

uniquenessboundary value problemgeneralized solutionmixed-type equationquasi-regular solution

Mathematics Subject Classification ID

Representations of solutions to partial differential equations (35Cxx) Miscellaneous topics in partial differential equations (35Rxx)

Related Items (4)

On one inhomogeneous model of oscillations of a thin flat plate with a variety of mounts on opposite sides ⋮ On the existence and uniqueness of a generalized solution of the Protter problem for \((3+1)\)-D Keldysh-type equations ⋮ Singular solutions to a (3 + 1)-D Protter-Morawetz problem for Keldysh-type equations ⋮ Eigenfunctions of the Gellerstedt problem with an inclined-type change line

Cites Work

• Asymptotic expansions of singular solutions for \((3+1)\)-D Protter problems
• The Darboux problems in \(\mathbb{R}^ 3\) for a class of degenerating hyperbolic equations
• A criterion for the existence of eigenfunctions of the Darboux-Protter spectral problem for degenerating multidimensional hyperbolic equations
• Fundamental solutions of the Tricomi operator. III
• On the solvability of the Tricomi problem for the Lavrent'ev-Bitsadze equation with mixed boundary conditions
• Frankl–Morawetz Problem in $\mathbb{R}^3 $
• A Nonlocal Regularization of Some Over-Determined Boundary-Value Problems I
• MIXED EQUATIONS AND TRANSONIC FLOW
• On closed boundary value problems for equations of mixed elliptic‐hyperbolic type
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