Initial boundary value problems for nonlinear dispersive wave equations

From MaRDI portal
Publication:1004370

DOI10.1016/j.jfa.2008.07.010zbMath1193.35108OpenAlexW2013949201MaRDI QIDQ1004370

Joachim Escher, Zhaoyang Yin

Publication date: 3 March 2009

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2008.07.010




Related Items (59)

Weak well-posedness for a modified two-component Camassa-Holm systemWell-posedness, global existence and blow-up phenomena for an integrable multi-component Camassa-Holm systemInfinite propagation speed and asymptotic behavior for a two-component Degasperis-Procesi systemBlow-up phenomena for the weakly dissipative Dullin-Gottwald-Holm equation revisitedOptimal control and optimality condition of the Camassa-Holm equationUniqueness of global conservative weak solutions for the modified two-component Camassa-Holm systemOn the solutions of the Dullin-Gottwald-Holm equation in Besov spacesThe global Gevrey regularity and analyticity of a two-component shallow water system with higher-order inertia operatorsWell-posedness and analytic solutions of a two-component water wave equationOn traveling wave solutions of the \(\theta\)-equation of dispersive typeWell-posedness, blow-up phenomena and persistence properties for a two-component water wave systemGlobal weak solutions for a two-component Camassa-Holm shallow water systemAttractor for the viscous two-component Camassa-Holm equationLipschitz metric for the modified two-component Camassa–Holm systemInitial boundary value problem of the general three-component Camassa-Holm shallow water system on an intervalOn initial boundary value problems for variants of the Hunter-Saxton equationNon-uniform dependence for the periodic higher dimensional Camassa-Holm equationsGlobal weak solutions to the Novikov equationInitial boundary value problem and asymptotic stabilization of the two-component Camassa-Holm equationGlobal solutions for the generalized Camassa-Holm equationHölder continuity for a modified Camassa-Holm systemWave breaking and global existence for a family of peakon equations with high order nonlinearityOn the initial value problem for higher dimensional Camassa-Holm equationsOn the existence of global weak solutions to an integrable two-component Camassa–Holm shallow-water systemA three‐level linearized finite difference scheme for the camassa–holm equationThe local and global existence of solutions for a generalized Camassa-Holm equationOn the Cauchy problem for a generalized two-component shallow water wave system with fractional higher-order inertia operatorsOn an \(N\)-component Camassa-Holm equation with peakonsGlobal existence and blow-up phenomena for an integrable two-component Camassa-Holm shallow water systemSome properties of solutions to the periodic two-component hyperelastic-rod wave equationInitial-boundary value problem for the Camassa-Holm equation with linearizable boundary conditionThe Cauchy problem for the generalized hyperelastic rod wave equationGlobal periodic conservative solutions of a periodic modified two-component Camassa-Holm equationInitial boundary value problem and asymptotic stabilization of the Camassa-Holm equation on an intervalQualitative analysis for a new integrable two-component Camassa-Holm system with peakon and weak kink solutionsGlobal and singular solutions to the generalized Proudman-Johnson equationGlobal solutions and blow-up phenomena to a shallow water equationThe Cauchy problem for higher-order modified Camassa-Holm equations on the circleThe Camassa-Holm equation on the half-line with linearizable boundary conditionOn a new two-component \(b\)-family peakon system with cubic nonlinearityGlobal existence for a two-component Camassa-Holm system with an arbitrary smooth functionOn the global attractor of the two-component \(\pi\)-Camassa-Holm equation with viscous termsBlowup and blowup rate of solutions to a weakly dissipative periodic rod equationOn a three-component Camassa-Holm equation with peakonsWell-posedness of a class of solutions to an integrable two-component Camassa-Holm systemOn the uniform controllability for a family of non-viscous and viscous Burgers-α systemsOptimal control of a viscous generalized \(\theta\)-type dispersive equation with weak dissipationGlobal existence and blow-up phenomena for the weakly dissipative Camassa-Holm equationON THE LOW REGULARITY SOLUTIONS FOR A MODIFIED TWO-COMPONENT CAMASSA–HOLM SHALLOW WATER SYSTEMTime-periodic solution of the weakly dissipative Camassa-Holm equationInitial boundary value problem for a coupled Camassa–Holm system with peakonsThe global Gevrey regularity of the rotation two-component Camassa-Holm systemNon-uniform dependence for a modified Camassa-Holm systemBlow-up solutions of the general b-equationGlobal dissipative solutions of a modified two-component Camassa–Holm shallow water systemAn interacting system of the Camassa-Holm and Degasperis-Procesi equationsThe Cauchy problem for the modified two-component Camassa-Holm system in critical Besov spaceOn the global weak solution to a generalized two-component Camassa-Holm systemOn the Cauchy problem for a four-component Camassa-Holm type system



Cites Work


This page was built for publication: Initial boundary value problems for nonlinear dispersive wave equations