On solvability of a Poincaré-Tricomi type problem for an elliptic-hyperbolic equation of the second kind

DOI10.1134/S1995080221030239zbMath1465.35311OpenAlexW3158796248WikidataQ115525852 ScholiaQ115525852MaRDI QIDQ2026688

Yanyan Li

Publication date: 20 May 2021

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080221030239

zbMATH Keywords

generalized solutionGreen functionenergy integral methoddegenerate equation of second kindPoincaré-Tricomi type problem

Mathematics Subject Classification ID

Weak solutions to PDEs (35D30) Initial value problems for PDEs of mixed type (35M11)

Related Items (13)

The linear inverse problem for the three-dimensional Tricomi equation in a prismatic unbounded domain ⋮ Generalized solution of the Cauchy problem for hyperbolic equation with two lines of degeneracy of the second kind ⋮ On the solvability of the Dirichlet problem for the heat equation in a degenerating domain ⋮ The Neumann problem for a multidimensional elliptic equation with several singular coefficients in an infinite domain ⋮ On a problem with shift on pieces of boundary characteristics for the Gellerstedt equation with singular coefficients ⋮ On a Cauchy type problem for a second kind degenerating hyperbolic equation ⋮ Inverse problem for mixed-type equation with an elliptic operator of arbitrary order ⋮ On a boundary value problem for a class of equations of mixed type ⋮ Dirichlet problem for the Laplace equation in the hyperoctant of a multidimensional ball ⋮ A boundary value problem with a conormal derivative for a mixed-type equation of the second kind with a conjugation condition of the Frankl type ⋮ Unnamed Item ⋮ Holmgren's problem for the Laplace equation in the hyperoctant of a multidimensional ball ⋮ On the solvability of heat boundary value problems in Sobolev spaces

Cites Work

• Unnamed Item
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• Unnamed Item
• Nonlocal Dezin's problem for Lavrent'ev-Bitsadze equation
• A nonlocal boundary-value problem with conormal derivative for a mixed-type equation with two inner degeneration lines and various orders of degeneracy
• The boundary-value problem for the Lavrent'ev-Bitsadze equation with unknown right-hand side
• A nonlocal problem for degenerate hyperbolic equation
• A problem with a nonlocal boundary condition on the characteristic for a class of equations of mixed type
• The Dirichlet problem for a mixed-type equation of the second kind in a rectangular domain
• The Dirichlet problem for a mixed-type equation with characteristic degeneration in a rectangular domain
• Tricomi problem for strongly degenerate equations of parabolic-hyperbolic type
• The Bitsadze--Samarskii problem for a class of degenerate hyperbolic equations
• Tricomi problem for second kind parabolic hyperbolic type equation
• On the completeness of eigenfunctions of the Neumann-Tricomi problem for a degenerate equation of mixed type
• On the completeness of eigenfunctions of the Tricomi problem for a degenerate equation of mixed type
• A nonlocal boundary-value problem with the Bitsadze-Samarskii conditon for a parabolic-hyperbolic equation of the second kind
• On the theory of the Frankl problem for equations of mixed type
• О корректности краевых задач с условиями периодичности для уравнения смешанного типа второго рода
• Nonuniqueness of the Solution to the Interior Neumann–Gellerstedt Problem for the Lavrent’ev–Bitsadze Equation
• On representation of a solution to a modified Cauchy problem

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