Breakdown in finite time of solutions to a one-dimensional wave equation

• Autores: Salim A. Messaoudi, Mokhtar Kirane
• Localización: Revista matemática complutense, ISSN-e 1988-2807, ISSN 1139-1138, Vol. 13, Nº 2, 2000, págs. 413-422
• Idioma: inglés
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• Resumen

  • We consider a special type of a one-dimensional quasilinear wave equation wtt - fi(wt wx)wxx = 0 in a bounded domain with Dirichlet boundary conditions and show that classical solutions blow up in finite time even for small initial data in some norm.