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Approximate Solutions of Partial Differential Operators (Mathematical Research, Bd. 108.) - Tapa dura

Gramchev, Todor V.; Popivanov, Petar R.

 
9783527401383: Approximate Solutions of Partial Differential Operators (Mathematical Research, Bd. 108.)

Sinopsis

Microlocal analysis has been a fast developing field. In this book, the authors publish their research results in a summarized form. They deal with the following themes: asymptotic solutions for several classes of linear PDO with multiple characteristics; applications to microlocal solvability and hypoellipticity of the same classes of operators; solvability and hypoellipticity on the torus including construction of global parametrices; applications of the asymptotic methods and Gevrey microlocal analysis to the billiard ball map; and a survey of results in the domain of hypoellipticity and solvability in connection with the construction of asymptotic solutions.

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Críticas

."..the authors are able to record the considerable progress realized recently in the field...topics have been chosen so that the reading is both attractive and useful, for experts and non-experts."(Mathematical Reviews Issue 2001g)

Reseña del editor

Microlocal analysis has been a fast developing field. In this book, the authors publish their research results in a summarized form. They deal with the following themes: asymptotic solutions for several classes of linear PDO with multiple characteristics; applications to microlocal solvability and hypoellipticity of the same classes of operators; solvability and hypoellipticity on the torus including construction of global parametrices; applications of the asymptotic methods and Gevrey microlocal analysis to the billiard ball map; and a survey of results in the domain of hypoellipticity and solvability in connection with the construction of asymptotic solutions.

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