Solvability of pseudoparabolic equations with non-linear boundary condition

DOI10.1134/S1995080220090061zbMath1452.35081OpenAlexW3105528263MaRDI QIDQ2211389

G. O. Zhumagul, Abdumauvlen S. Berdyshev, Serik E. Aitzhanov

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/s1995080220090061

zbMATH Keywords

Galerkin methodnonlinear boundary conditionssingularity of the solution

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61)

Related Items (3)

Solvability and Volterra property of nonlocal problems for mixed fractional-order diffusion-wave equation ⋮ An initial boundary value problem for a pseudoparabolic equation with a nonlinear boundary condition ⋮ Double Laplace decomposition method and finite difference method of time-fractional Schrödinger pseudoparabolic partial differential equation with Caputo derivative

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Blow-up phenomena for some nonlinear pseudo-parabolic equations
• Initial-boundary value problems for the equations of motion of Kelvin- Voigt fluids and Oldroyd fluids
• On stability theory for solutions of semilinear dissipative equations of the Sobolev type
• Bounds for blow-up time in nonlinear pseudo-parabolic equations
• On a class of doubly nonlinear nonlocal evolution equations
• Exact solutions of three nonclassical equations, and their construction with Maple system
• Lower bounds for the blow-up time in a semilinear parabolic problem involving a variable source
• Blow‐up phenomena for a pseudo‐parabolic equation
• ON A CLASS OF QUASILINEAR HYPERBOLIC EQUATIONS
• Pseudoparabolic Partial Differential Equations
• Model equations for long waves in nonlinear dispersive systems
• Existence and Representation Theorems for a Semilinear Sobolev Equation in Banach Space

This page was built for publication: Solvability of pseudoparabolic equations with non-linear boundary condition