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A priori estimates in hyperbolic systems of conservation laws via generalized characteristics. (English) Zbl 0881.35018

Author’s abstract: Using the theory of generalized characteristics, we establish a priori estimates on the variation of countably regular BV solutions to strictly hyperbolic, genuinely nonlinear systems of two conservation laws without appealing to any particular approximating scheme. The derived estimates are similar to those obtained by Glimm and Lax for solutions constructed by the random choice method.

MSC:

35B45 A priori estimates in context of PDEs
35L65 Hyperbolic conservation laws
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