Unique solvability of problems for a mixed parabolic equation in unbounded domain

DOI10.1134/S1995080220090176zbMath1452.35113OpenAlexW3102499232MaRDI QIDQ2211397

A. O. Mamanazarov

Publication date: 11 November 2020

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

Full work available at URL: https://doi.org/10.1134/s1995080220090176

zbMATH Keywords

Fredholm integral equation of second kindsingular coefficientVolterra integral equation of second kindGevrey problemBitsadze-Samarskii conditions

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Mittag-Leffler functions and generalizations (33E12) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fredholm integral equations (45B05) Applications of boundary value problems involving ordinary differential equations (34B60) Volterra integral equations (45D05) Fractional ordinary differential equations (34A08) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Boundary value problems for PDEs of mixed type (35M12)

Related Items (1)

On the solvability of an initial-boundary value problem for a fractional heat equation with involution

Cites Work

• Boundary-value problem for degenerate parabolic equation of high order with varying time direction
• On the parabolic equation \(sgn (x) | x | ^p u_y - u_{xx}=0\) and a related one
• On a forward-backward parabolic equation
• Parabolic equations of the fourth order with changing time direction with complete matrix of gluing conditions
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