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The semigroup generated by a temple class system with large data

TitleThe semigroup generated by a temple class system with large data
Publication TypeJournal Article
Year of Publication1997
AuthorsBaiti, P, Bressan, A
JournalDifferential Integral Equations 10 (1997), no. 3, 401-418
Abstract

We consider the Cauchy problem $$u_t + [F(u)]_x=0, u(0,x)=\\\\bar u(x) (*)$$ for a nonlinear $n\\\\times n$ system of conservation laws with coinciding shock and rarefaction curves. Assuming the existence of a coordinates system made of Riemann invariants, we prove the existence of a weak solution of (*) that depends in a lipschitz continuous way on the initial data, in the class of functions with arbitrarily large but bounded total variation.

URLhttp://hdl.handle.net/1963/1023

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