# Almost global existence for nonlinear wave equations in an exterior domain in two space dimensions

@article{Kubo2012AlmostGE, title={Almost global existence for nonlinear wave equations in an exterior domain in two space dimensions}, author={Hideo Kubo}, journal={arXiv: Mathematical Physics}, year={2012} }

## 7 Citations

### Global existence for exterior problems of semilinear wave equations with the null condition in $2$D

- Mathematics
- 2013

In this paper we deal with the exterior problem for a system of nonlinear wave equations
in two space dimensions under some geometric restriction on the obstacle.
We prove a global existence result…

### ON THE POINTWISE DECAY ESTIMATE FOR THE WAVE EQUATION WITH COMPACTLY SUPPORTED FORCING TERM

- Mathematics
- 2013

In this paper we derive a new type of pointwise decay estimates
for solutions to the Cauchy problem for the wave equation
in 2D, in the sense that one can diminish
the weight in the time variable…

### Almost global existence of nonlinear wave equations without compact support in two dimensions

- MathematicsMathematical Methods in the Applied Sciences
- 2020

In this paper, we consider 2‐D nonlinear wave equations with small initial data of noncompact support when the quadratic terms of the nonlinearity satisfy the null conditions but the cubic ones do…

### MODIFICATION OF THE VECTOR-FIELD METHOD RELATED TO QUADARTICALLY PERTURBED WAVE EQUATIONS IN TWO SPACE DIMENSIONS

- Mathematics
- 2016

. The purpose of this paper is to shed light on the fact that the global solvability for the quadratically perturbed wave equation with small initial data in two space dimension can be shown by using…

### Lifespan of Classical Solutions to Semilinear Neumann-Wave Equations

- Materials ScienceJournal of Dynamics and Differential Equations
- 2021

We study the initial-boundary value problems of quadratic semilinear wave equations outside of nontrapping obstacles with Neumann boundary conditions in spatial dimensions…

### Global existence and decay estimates for nonlinear wave equations with space-time dependent dissipative term

- Mathematics
- 2014

We study the global existence and the derivation of decay estimates for nonlinear wave equations with a space-time dependent dissipative term posed in an exterior domain. The linear dissipative…

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We prove global existence for quasilinear wave equations outside of a wide class of obstacles. The obstacles may contain trapped hyperbolic rays as long as there is local exponential energy decay for…

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In this paper we study the Cauchy problem and boundary-value problem of general form in the exterior of a compact set for hyperbolic operators L whose coefficients depend only on x and are constant…