Mathematical behavior of the solutions of a class of hyperbolic-type equation

Year 2018, Volume: 20 Issue: 3, 117 - 128, 29.10.2018

Erhan Pişkin , Hazal Yüksekkaya

https://doi.org/10.25092/baunfbed.483072

Abstract

In this paper, we consider hyperbolic-type equations with initial and Dirichlet boundary conditions in a bounded domain. Under some suitable assumptions on the initial data and source term, we obtain nonexistence of global solutions for arbitrary initial energy.

Keywords

Hyperbolic equation, nonexistence, damping term

Hiperbolik tipten bir denklemin çözümlerinin matematiksel davranışı

Abstract

Bu makalede sınırlı bir bölgede hiperbolik tipten başlangıç ve Dirichlet sınır koşullu problem ele alınmıştır. Başlangıç ve kaynak terim üzerine bırakılan bazı uygun koşullar altında çözümlerin global yokluğu keyfi başlangıç enerjisi için çalışılmıştır.

Keywords

Hiperbolik denklem, yokluk, damping terim

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