Method of Newton's Polyhedron in the Theory of Partial Differential Equations
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Word Count
66,500 words, Guess
Page Count
266 pages
Identifiers
- ISBN-139789401118026
- ISBN-109401118027
- Better World Books9789401118026
- Open LibraryOL34882836M
Classifications
- LCCQA1-939
Description
This volume develops the method of Newton's polyhedron for solving some problems in the theory of partial differential equations. The content is divided into two parts. Chapters 1-4 consider Newton's polygon and Chapters 5-7 consider Newton's polyhedron. The case of the polygon makes it possible not only to consider general constructions in the two-dimensional case, but also leads to some natural multidimensional applications. Attention is mainly focused on a special class of hypoelliptic operators defined using Newton's polyhedron, energy estimates in Cauchy's problem relating to Newton's polyhedron, and generalized operators of principal type. Priority is given to the presentation of an algebraic technique which can be applied to many other problems as well. For researchers and graduate students whose work involves the theory of differential and pseudodifferential equations.
Subjects
Other Editions
- Method of Newton's Polyhedron in the Theory of Partial Differential Equations
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