The blow-up curve of solutions to one dimensional nonlinear wave equations with the Dirichlet boundary conditions

2019 ◽  
Vol 37 (1) ◽  
pp. 339-363
Author(s):  
Tetsuya Ishiwata ◽  
Takiko Sasaki
Keyword(s):  
Boundary Conditions ◽  
Nonlinear Wave ◽  
Wave Equations ◽  
Dirichlet Boundary ◽  
Blow Up ◽  
Dirichlet Boundary Conditions ◽  
Nonlinear Wave Equations ◽  
One Dimensional

scholarly journals On a stochastic Burgers equation with Dirichlet boundary conditions

2003 ◽  
Vol 2003 (43) ◽  
pp. 2735-2746 ◽  
Author(s):  
Ekaterina T. Kolkovska
Keyword(s):  
Weak Solution ◽  
Boundary Conditions ◽  
Dirichlet Boundary ◽  
Burgers Equation ◽  
Martingale Problem ◽  
Weak Limit ◽  
Dirichlet Boundary Conditions ◽  
One Dimensional ◽  
Stochastic Burgers Equation ◽  
The One

We consider the one-dimensional Burgers equation perturbed by a white noise term with Dirichlet boundary conditions and a non-Lipschitz coefficient. We obtain existence of a weak solution proving tightness for a sequence of polygonal approximations for the equation and solving a martingale problem for the weak limit.

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