Задача Дирихле для трехмерного уравнения смешанного типа с тремя сингулярными коэффициентами

DOI10.14498/vsgtu1559zbMath1413.35315OpenAlexW2792569986MaRDI QIDQ4961709

A. K. Urinov, Kamoliddin Tuĭchibaevich Karimov

Publication date: 25 October 2018

Published in: Вестник Самарского государственного технического университета. Серия «Физико-математические науки» (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vsgtu1559

zbMATH Keywords

Dirichlet problemspectral methodexistence of solutionuniqueness of solutionmixed-type equations

Mathematics Subject Classification ID

PDEs of mixed type (35M10) Boundary value problems for PDEs of mixed type (35M12)

Related Items (9)

Analogues of the Cauchy-Goursat problem for a loaded third-order hyperbolic type equation in an infinite three-dimensional domain ⋮ The third boundary problem for a mixed-type equation with three singular coefficients ⋮ Nonlocal problem for an elliptic equation with singular coefficients in a semi-infinite parallelepiped ⋮ Keldysh problem for a three-dimensional equation of mixed type with three singular coefficients in a semi-infinite parallelepiped ⋮ Boundary value problems in a semi-infinite parallelepiped for an elliptic equation with three singular coefficients ⋮ Nonlocal boundary value problems for a three-dimensional elliptic equation with singular coefficients in a semi-infinite parallelepiped ⋮ The Keldysh problem for a mixed-type three-dimensional equation with three singular coefficients ⋮ Потенциалы для трехмерного эллиптического уравнения с одним сингулярным коэффициентом и их применение ⋮ On the Keldysh problem for a mixed-type equation with two singular lines

Cites Work

• Dirichlet problem for an equation of mixed type with two degeneration lines in a rectangular domain
• On the Dirichlet problem for a mixed-type equation of the second kind with strong degeneration
• A criterion for the unique solvability of the Dirichlet spectral problem in a cylindrical domain for a multidimensional Lavrent'ev-Bitsadze equation
• On the theory of mixed-type equations
• The Dirichlet problem for a mixed-type equation of the second kind in a rectangular domain
• A criterion of uniqueness of a solution to the Dirichlet problem with the axial symmetry for the three-dimensional mixed type equation with the Bessel operator
• Dirichlet problem for mixed-type equations in a rectangular domain
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