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By Antônio Sá Barreto (auth.), Michael Beals, Richard B. Melrose, Jeffrey Rauch (eds.)

This IMA quantity in arithmetic and its purposes MICROLOCAL research AND NONLINEAR WAVES is predicated at the court cases of a workshop which was once an essential component of the 1988- 1989 IMA software on "Nonlinear Waves". We thank Michael Beals, Richard Melrose and Jeffrey Rauch for organizing the assembly and enhancing this court cases quantity. We additionally take this chance to thank the nationwide technological know-how beginning whose monetary aid made the workshop attainable. A vner Friedman Willard Miller, Jr. PREFACE Microlocal research is normal and intensely profitable within the learn of the propagation of linear hyperbolic waves. for instance think about the preliminary price challenge Pu = f E e'(RHd), supp f C {t ;::: O} u = zero for t < o. If P( t, x, Dt,x) is a strictly hyperbolic operator or procedure then the singular aid of f offers an top sure for the singular help of u (Courant-Lax, Lax, Ludwig), specifically singsupp u C the union of ahead rays passing throughout the singular aid of f.

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