๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Nonexistence of global solutions of a hyperbolic problem

โœ Scribed by M. Aassila


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
461 KB
Volume
34
Category
Article
ISSN
0895-7177

No coin nor oath required. For personal study only.

โœฆ Synopsis


In this paper, we prove some blow-up results for the solutions of a semilinear hyperbolic problem with boundary conditions of memory type.


๐Ÿ“œ SIMILAR VOLUMES


Nonexistence of Global Solutions of Some
โœ Mehmet Can; Sang Ro Park; Fahreddin Aliyev ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 194 KB

In this work, the nonexistence of the global solutions to initial boundary value problems with dissipative terms in the boundary conditions is considered for a class of quasilinear hyperbolic equations. The nonexistence proof is achieved by the usage of the so-called concavity method. In this method

Local and global nonexistence of solutio
โœ M. Guedda ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 358 KB

where t, ls a homogeneous linear partial differential operator of order m and p > 1. For example, we prove that for any T > 0 the problem, with ut(x,O) = ~1, cp(r) = lrlQ-%, 0 < q 5 1 and h(x) = 1x17, 7 > 0, has no solution if liml,+m ,,(x)lxl7q/(p-q) = 00.

Nonexistence of Global Solutions of Some
โœ M. Kirane; S. Kouachi; N. Tatar ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 266 KB

In this paper the non-existence of global solutions of two fourth-order hyperbolic equations with dynamic boundary conditions is considered. The method of proof makes use of the generalized convexity method due to LADYZHENSKAYA and KALANTAROV [4].