AbstractWe give an example of the influence of the dependence of the coefficient of equation on time variable, and in particular oscillations in time, on a global existence of the solution to the nonlinear hyperbolic equation. Namely for arbitrary small initial data we construct a blowing up solution
In this paper we consider the semilinear wave equation with the multiplication of logarithmic and po...
We consider the Cauchy problem for nonlinear abstract wave equations in a Hilbert space. Our main go...
Abstract: In this paper the nonexistence of global solutions to wave equations of the type utt ¡ ¢u ...
In this manuscript we prove global existence and linear asymptotic behavior of small solutions to no...
The traditional wave equation is mostly, if not always, obtained from a system of first order partia...
Using the concept of weak linear degeneracy and the method of (generalized) normalized coordinates, ...
This article studies the existence and nonexistence of global solutions to the initial boundary val...
For wave equations with power nonlinearity we investigate the problem of the existence or nonexisten...
Wave-breaking is studied analytically first and the results are compared with accurate numerical sim...
This is the second volume in the University Lecture Series, designed to make more widely available s...
This paper corrects Asakura's observation on semilinear wave equations with non-compactly supported ...
(Communicated by Grozdena Todorova) Abstract. This paper corrects Asakura's observation on semi...
The goal of this paper is to study the global existence of small data solutions to the Cauchy proble...
In this work, the nonexistence of the global solutions of a quasilinear hyperbolic boundary value pr...
For wave equations with power nonlinearity we investigate the problem of the existence or nonexiste...
In this paper we consider the semilinear wave equation with the multiplication of logarithmic and po...
We consider the Cauchy problem for nonlinear abstract wave equations in a Hilbert space. Our main go...
Abstract: In this paper the nonexistence of global solutions to wave equations of the type utt ¡ ¢u ...
In this manuscript we prove global existence and linear asymptotic behavior of small solutions to no...
The traditional wave equation is mostly, if not always, obtained from a system of first order partia...
Using the concept of weak linear degeneracy and the method of (generalized) normalized coordinates, ...
This article studies the existence and nonexistence of global solutions to the initial boundary val...
For wave equations with power nonlinearity we investigate the problem of the existence or nonexisten...
Wave-breaking is studied analytically first and the results are compared with accurate numerical sim...
This is the second volume in the University Lecture Series, designed to make more widely available s...
This paper corrects Asakura's observation on semilinear wave equations with non-compactly supported ...
(Communicated by Grozdena Todorova) Abstract. This paper corrects Asakura's observation on semi...
The goal of this paper is to study the global existence of small data solutions to the Cauchy proble...
In this work, the nonexistence of the global solutions of a quasilinear hyperbolic boundary value pr...
For wave equations with power nonlinearity we investigate the problem of the existence or nonexiste...
In this paper we consider the semilinear wave equation with the multiplication of logarithmic and po...
We consider the Cauchy problem for nonlinear abstract wave equations in a Hilbert space. Our main go...
Abstract: In this paper the nonexistence of global solutions to wave equations of the type utt ¡ ¢u ...
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