Title of article
Existence and uniqueness for a quasilinear hyperbolic equation with σ-finite Borel measures as initial conditions
Author/Authors
Yuan Hongjun ? and Zheng Xiaoyu، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2002
Pages
24
From page
27
To page
50
Abstract
The aim of this paper is to discuss the Cauchy problem for a quasilinear hyperbolic equation of
the form
∂u
∂t +
∂um
∂x + up = 0 (m > 1, p>0)
with σ -finite Borel measures as initial conditions. In particular, the existence and uniqueness of
global BV solutions with any nonnegative σ -finite Borel measures as initial conditions are obtained
in the case m
Keywords
Quasilinear hyperbolic equation , Cauchy problem , BV solutions , Existence and uniqueness
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2002
Journal title
Journal of Mathematical Analysis and Applications
Record number
930346
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