AbstractWe study a nonlinear wave equation on the two-dimensional sphere with a blowing-up nonlinearity. The existence and uniqueness of a local regular solution are established. Also, the behavior of the solutions is examined. We show that a large class of solutions to the initial value problem quench in finite time
The paper is devoted to the initial boundary value problem for the Korteweg-de Vries-Benjamin-Bona-M...
We establish a blowup result to an initial boundary value problem for the nonlinear wave equation ut...
Proceedings, pp. 572—576 In this work, we study the blow up of solutions to the initial boundary val...
We consider two problems, the first of which is a nonlinear wave equation on the two-dimensional sph...
We establish the local well-posedness for a new nonlinearly dispersive wave equation which has solut...
We establish the local well-posedness for a new nonlinearly dispersive wave equation and we show tha...
International audienceWe prove that any sufficiently differentiable space-like hypersurface of ${\ma...
AbstractThe paper studies the global existence, asymptotic behavior and blowup of solutions to the i...
We study the initial-boundary value problem for the nonlinear wave equations with nonlinear dissipat...
We consider the Cauchy problem for nonlinear abstract wave equations in a Hilbert space. Our main go...
AbstractWe study the nonlinear wave equation with a sign-changing potential in any space dimension. ...
In this paper we consider the nonlinear dispersive wave equation on the real line, $u_t-u_{txx}+[f(u...
and D. Tataru, about singular solutions for the critical wave maps equation, as well as the critical...
We establish a blowup result to an initial boundary value problem for the nonlinear wave equation ut...
This is the second volume in the University Lecture Series, designed to make more widely available s...
The paper is devoted to the initial boundary value problem for the Korteweg-de Vries-Benjamin-Bona-M...
We establish a blowup result to an initial boundary value problem for the nonlinear wave equation ut...
Proceedings, pp. 572—576 In this work, we study the blow up of solutions to the initial boundary val...
We consider two problems, the first of which is a nonlinear wave equation on the two-dimensional sph...
We establish the local well-posedness for a new nonlinearly dispersive wave equation which has solut...
We establish the local well-posedness for a new nonlinearly dispersive wave equation and we show tha...
International audienceWe prove that any sufficiently differentiable space-like hypersurface of ${\ma...
AbstractThe paper studies the global existence, asymptotic behavior and blowup of solutions to the i...
We study the initial-boundary value problem for the nonlinear wave equations with nonlinear dissipat...
We consider the Cauchy problem for nonlinear abstract wave equations in a Hilbert space. Our main go...
AbstractWe study the nonlinear wave equation with a sign-changing potential in any space dimension. ...
In this paper we consider the nonlinear dispersive wave equation on the real line, $u_t-u_{txx}+[f(u...
and D. Tataru, about singular solutions for the critical wave maps equation, as well as the critical...
We establish a blowup result to an initial boundary value problem for the nonlinear wave equation ut...
This is the second volume in the University Lecture Series, designed to make more widely available s...
The paper is devoted to the initial boundary value problem for the Korteweg-de Vries-Benjamin-Bona-M...
We establish a blowup result to an initial boundary value problem for the nonlinear wave equation ut...
Proceedings, pp. 572—576 In this work, we study the blow up of solutions to the initial boundary val...
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