Year: 2005
Journal of Partial Differential Equations, Vol. 18 (2005), Iss. 4 : pp. 289–303
Abstract
The aim of this paper is to discuss some degenerate hyperbolic equation u_t + φ(u)_x = 0, where φ ∈ C¹(R \ {0}) ∩ C²(R \ {0}) is a nondecreasing function in R, where R = (-∞, +∞). Some entropy inequalities are obtained and can be applied to study the existence of local BV solutions of the above equation with local finite measures as initial conditions.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2005-JPDE-5364
Journal of Partial Differential Equations, Vol. 18 (2005), Iss. 4 : pp. 289–303
Published online: 2005-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: Quasilinear hyperbolic equations