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Some results of the generalized solutions defined by Lebesgue-Stieltjes integral for hyperbolic conservation laws. (English) Zbl 0931.35096

Chen, Gui-Qiang (ed.) et al., Advances in nonlinear partial differential equations and related areas. Proceedings of a conference dedicated to Professor Xiaqi Ding on the occasion of his 70th birthday, Beijing, China, August 9–10, 1997. Singapore: World Scientific. 209-218 (1998).
Summary: First a new definition by Lebesgue-Stieltjes integrals for generalized solutions of hyperbolic conservation laws given by X. Ding in [Preprint, Dep. of Math., Univ. of Jyvaskyla No. 167, 1993] is presented. Then some results are given involving Delta measures of hyperbolic conservation laws with the new definition.
For the entire collection see [Zbl 0915.00067].

MSC:

35L65 Hyperbolic conservation laws
35D05 Existence of generalized solutions of PDE (MSC2000)

Keywords:

Delta measures
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