scholarly journals Local well-posedness for the periodic higher order KdV type equations

2011 ◽  
Vol 19 (6) ◽  
pp. 677-693 ◽  
Author(s):  
Hiroyuki Hirayama
Keyword(s):  
Higher Order ◽  
Well Posedness ◽  
Kdv Type Equations

The weighted Cauchy problem for linear functional differential equations with strong singularities

2011 ◽  
Vol 18 (3) ◽  
pp. 577-586
Author(s):  
Zaza Sokhadze
Keyword(s):  
Cauchy Problem ◽  
Differential Equations ◽  
Linear Functional ◽  
Functional Differential Equations ◽  
Sufficient Conditions ◽  
Initial Point ◽  
Higher Order ◽  
Well Posedness ◽  
Deviating Arguments ◽  
Functional Differential

Abstract The sufficient conditions of well-posedness of the weighted Cauchy problem for higher order linear functional differential equations with deviating arguments, whose coefficients have nonintegrable singularities at the initial point, are found.

scholarly journals On the well-posedness and large-time behavior of higher order Boussinesq system

Nonlinearity ◽  
2019 ◽  
Vol 32 (5) ◽  
pp. 1852-1881 ◽  
Author(s):  
Roberto A Capistrano-Filho ◽  
Fernando A Gallego ◽  
Ademir F Pazoto
Keyword(s):  
Large Time ◽  
Large Time Behavior ◽  
Higher Order ◽  
Boussinesq System ◽  
Well Posedness ◽  
Time Behavior

scholarly journals Sharp local well-posedness of KdV type equations with dissipative perturbations

2016 ◽  
Vol 74 (3) ◽  
pp. 571-594 ◽  
Author(s):  
Xavier Carvajal ◽  
Mahendra Panthee
Keyword(s):  
Well Posedness ◽  
Kdv Type Equations

scholarly journals Invariant measure of stochastic higher order KdV equation driven by Poisson processes

2021 ◽  
Author(s):  
Pengfei Xu ◽  
Jianhua Huang ◽  
Wei Yan
Keyword(s):  
Invariant Measure ◽  
Poisson Process ◽  
Initial Conditions ◽  
Kdv Equation ◽  
Higher Order ◽  
Poisson Processes ◽  
Current Paper ◽  
Well Posedness ◽  
Kdv Equations ◽  
Unique Invariant Measure

The current paper is devoted to stochastic damped KdV equations of higher order driven by Poisson process. We establish the well-posedness of stochastic damped higher-order KdV equations, and prove that there exists an unique invariant measure for deterministic initial conditions. Some discussion on the general pure jump noise case are also provided.

scholarly journals Local well-posedness of the fifth-order KdV-type equations on the half-line

2019 ◽  
Vol 18 (5) ◽  
pp. 2607-2661 ◽  
Author(s):  
Márcio Cavalcante ◽  
◽  
Chulkwang Kwak ◽  
Keyword(s):  
Half Line ◽  
Well Posedness ◽  
Kdv Type Equations ◽  
Fifth Order
Sign in / Sign up

Export Citation Format

Share Document