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
Link To Document :
