Odd-order quasilinear evolution equations with general nonlinearity on bounded intervals

DOI10.1134/S1995080221050048zbMath1465.35120OpenAlexW3166035486MaRDI QIDQ2032365

Andrei V. Faminskii

Publication date: 11 June 2021

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

Full work available at URL: https://doi.org/10.1134/s1995080221050048

zbMATH Keywords

uniquenessglobal existenceone space dimensionlarge-time decay

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Weak solutions to PDEs (35D30) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)

Related Items

On inverse problems for odd-order quasilinear evolution equations with general nonlinearity

Cites Work

• Unnamed Item
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• Decay properties for solutions of fifth order nonlinear dispersive equations
• The Kawahara equation on bounded intervals and on a half-line
• Global well-posedness and asymptotic behavior of a class of initial-boundary-value problem of the Korteweg-de Vries equation on a finite domain
• Nonhomogeneous boundary value problems for the Korteweg-de Vries equation on a bounded domain
• Energy decay for the modified Kawahara equation posed in a bounded domain
• Lax pairs and higher order models for water waves
• Weakly non-local solitons for capillary-gravity waves: Fifth-degree Korteweg-de Vries equation
• Existence of perturbed solitary wave solutions to a model equation for water waves
• Well-posedness for the fifth-order shallow water equations
• A non-homogeneous boundary-value problem for the Korteweg-de Vries equation posed on a finite domain. II.
• On the controllability of the fifth-order Korteweg-de Vries equation
• Quelques généralisations de l'équation de Korteweg-de Vries. II
• Local well-posedness for the KdV hierarchy at high regularity
• General boundary value problems of the Korteweg-de Vries equation on a bounded domain
• Initial-boundary value problems for generalized dispersive equations of higher orders posed on bounded intervals
• On the generalized Apostol-type Frobenius-Euler polynomials
• The Korteweg-de Vries-Kawahara equation in a bounded domain and some numerical results
• Local and global existence of solutions of initial value problems of nonlinear Kaup-Kupershmidt equations
• Approximate Equations for Long Nonlinear Waves on a Viscous Fluid
• Odd-order quasilinear evolution equations posed on a bounded interval
• THE CAUCHY PROBLEM FOR ODD-ORDER QUASILINEAR EQUATIONS
• The Kawahara equation in weighted Sobolev spaces
• On the Inverse Scattering Problem for Cubic Eigenvalue Problems of the Class ψ_xxx + 6Qψ_x + 6R_ψ = λψ
• Existence and Nonexistence of Solitary Wave Solutions to Higher-Order Model Evolution Equations
• A General Theory for Interactions Between Short and Long Waves
• Higher-Order Nonlinear Dispersive Equations
• Solitary and Periodic Solutions of Nonlinear Nonintegrable Equations
• Neumann Boundary Controllability of the Korteweg--de Vries Equation on a Bounded Domain
• Finite amplitude side-band stability of a viscous film
• Linear Instability of Solitary Wave Solutions of the Kawahara Equation and Its Generalizations
• Well-posedness of a class of non-homogeneous boundary value problems of the Korteweg-de Vries equation on a finite domain
• Well-posedness and ill-posedness of the fifth order modifed KdV equation
• The Initial-Boundary Value Problem for the Korteweg–de Vries Equation
• Long Waves on Liquid Films
• Integrals of nonlinear equations of evolution and solitary waves
• A non-linear equation incorporating damping and dispersion