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–226. On the Blow - up of Solutions to Nonlinear Initial – Boundary Value Problems S. I. Pohozaev Received September 2007 Abstract—We consider the problem of nonexistence ( blow - up ) of solutions of nonlinear ...
We prove the global existence and blow ‐ up of solutions of an initial boundary value problem for nonlinear nonlocal parabolic equation with nonlinear nonlocal boundary condition. Obtained results ...
The problem of the blow - up of solutions to the initial boundary value problem for a nonautonomous semilinear wave equation with damping and accelerating terms under the Robin boundary condition ...
The blow - up of solutions of two initial boundary - value problems different in the form of the equation’s nonlinearity is investigated. This leads to different approaches to the analytical proof ...
This paper is concerned with the blow - up of solutions to the initial boundary value problem for the wave equation with scale invariant damping term on the exterior domain, where the nonlinear terms ...
EQUATION JUN ZHOU Abstract. This paper deals with the global existence and blow - up of solutions to a inhomogeneous pseudo-parabolic equation with initial value u in the 1 n Sobolev space H ( ), where R (n ...
In this paper, we consider the initial boundary value problem for a pseudo‐parabolic Kirchhoff equation with logarithmic nonlinearity. Using the potential well method, we obtain a threshold result ...
An initial boundary value problem for a quasilinear equation of pseudoparabolic type with a nonlinear boundary condition of the Neumann–Dirichlet type is investigated in this work. From a physical ...
and finite time blow ‐ up of the solution . Moreover, we derive the exponential decay estimation of the energy functional and the upper and lower bounds of the blow ‐ up time. ...
Any classical non-null solution to the initial boundary value problem of Camassa-Holm equation on finite interval with homogeneous boundary condition must blow up in finite time. An initial boundary ...
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