In this paper we study a global in time existence of classical solutions of semilinear systems of 3-dim. wave equations. We see that one component of the global in time solution can be arbitrarily large if another component is small enough according to some balance of each amplitude. Also its sharpness is discussed. This is a specific nature of strongly coupled systems
We consider quasilinear wave equations in $(1+3)$-dimensions where the nonlinearity $F(u,u',u")$ is ...
In the present article a, semilinear scale-invariant wave equation with damping and mass is consider...
AbstractWe consider the Cauchy problem for a system of semilinear wave equations with small initial ...
In this paper we study a global in time existence of classical so- lutions of semilinear systems of ...
We discuss the existence of a global small solution to the Cauchy problem for a system of quasilinea...
AbstractWe consider the Cauchy problem for systems of nonlinear wave equations with different propag...
Abstract. We prove that a certain class of semilinear wave equations has global solutions if the ini...
We consider a semilinear wave equation with scale-invariant damping and mass and power nonlinearity....
AbstractThis paper deals with the asymptotic theory of initial value problems for semilinear wave eq...
In this paper we consider the blow-up of solutions to a weakly coupled system of semilinear damped w...
We consider the Cauchy problem for the following system of semilinear wave equations { ¤ui = Fi(u, ∂...
This paper is concerned with a system of nonlinear wave equations in three space dimensions ∂2tui - ...
AbstractWe consider two dimensional exterior mixed problems for a semilinear damped wave equation wi...
AbstractWe consider the Cauchy problem for systems of semilinear wave equations in two and three spa...
In this paper, we consider the blow-up for solutions to a weakly coupled system of semilinear damped...
We consider quasilinear wave equations in $(1+3)$-dimensions where the nonlinearity $F(u,u',u")$ is ...
In the present article a, semilinear scale-invariant wave equation with damping and mass is consider...
AbstractWe consider the Cauchy problem for a system of semilinear wave equations with small initial ...
In this paper we study a global in time existence of classical so- lutions of semilinear systems of ...
We discuss the existence of a global small solution to the Cauchy problem for a system of quasilinea...
AbstractWe consider the Cauchy problem for systems of nonlinear wave equations with different propag...
Abstract. We prove that a certain class of semilinear wave equations has global solutions if the ini...
We consider a semilinear wave equation with scale-invariant damping and mass and power nonlinearity....
AbstractThis paper deals with the asymptotic theory of initial value problems for semilinear wave eq...
In this paper we consider the blow-up of solutions to a weakly coupled system of semilinear damped w...
We consider the Cauchy problem for the following system of semilinear wave equations { ¤ui = Fi(u, ∂...
This paper is concerned with a system of nonlinear wave equations in three space dimensions ∂2tui - ...
AbstractWe consider two dimensional exterior mixed problems for a semilinear damped wave equation wi...
AbstractWe consider the Cauchy problem for systems of semilinear wave equations in two and three spa...
In this paper, we consider the blow-up for solutions to a weakly coupled system of semilinear damped...
We consider quasilinear wave equations in $(1+3)$-dimensions where the nonlinearity $F(u,u',u")$ is ...
In the present article a, semilinear scale-invariant wave equation with damping and mass is consider...
AbstractWe consider the Cauchy problem for a system of semilinear wave equations with small initial ...
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