On a nonlocal problem for mixed parabolic–hyperbolic type equation with nonsmooth line of type changing

DOI10.1142/S1793557114500302zbMath1302.35265arXiv1305.6107MaRDI QIDQ2920905

Nilufar A. Rakhmatullaeva, Erkinjon Tulkinovich Karimov

Publication date: 29 September 2014

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.6107

zbMATH Keywords

Green's functionVolterra integral equationmethod of energy integrals

Mathematics Subject Classification ID

PDEs of mixed type (35M10) Integral representations of solutions to PDEs (35C15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (3)

Solvability of a non-local problem with integral transmitting condition for mixed type equation with Caputo fractional derivative ⋮ Non-local Boundary Problem with Integral Form Transmitting Condition for Fractional Mixed Type Equation in a Composite Domain ⋮ The Bitsadze-Samarskii type problem for mixed type equation in the domain with the deviation from the characteristics

Cites Work

• Boundary value problems with integral gluing conditions for fractional-order mixed-type equation
• Some non-local problems for the parabolic-hyperbolic type equation with non-characteristic line of changing type
• Uniqueness of Quasi-Regular Solutions for a Bi-Parabolic Elliptic Bi-Hyperbolic Tricomi Problem
• A weak solution for a system of equations of elliptic-hyperbolic type
• The mixed boundary‐value problem for second order elliptic equations with degenerate curve on the sides of an angle
• Some non-local problems for the parabolic-hyperbolic type equation with complex spectral parameter

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