Symbolic Calculus for Semilinear Hyperbolic Progressing Waves
1004474506
Symbolic Calculus for Semilinear Hyperbolic Progressing Waves
125.0 In Stock
Symbolic Calculus for Semilinear Hyperbolic Progressing Waves

Symbolic Calculus for Semilinear Hyperbolic Progressing Waves

by H. Bougini
Symbolic Calculus for Semilinear Hyperbolic Progressing Waves

Symbolic Calculus for Semilinear Hyperbolic Progressing Waves

by H. Bougini

Hardcover

$125.00 
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Product Details

ISBN-13: 9781560728788
Publisher: Nova Science Publishers, Incorporated
Publication date: 11/28/2000
Pages: 250
Product dimensions: 5.91(w) x 9.06(h) x (d)

Table of Contents

Prefacevii
Introductionix
Chapter 1Generalities on conormal distributions1
1.1Introduction1
1.2Conormal spaces4
1.3Symbols and examples of conormal distributions14
Chapter 2Propagation and interaction of conormal waves19
2.1Introduction19
2.2Propagation of a single conormal wave21
2.3Interaction of two transversal conormal waves26
2.4Linear propagation properties31
2.5Remarks37
Chapter 3Symbolic calculus: propagation; interaction for 2[times]2 systems39
3.1Introduction39
3.2The case of a single conormal wave40
3.3The case of transversal interaction for 2 [times] 2 systems48
Chapter 4Symbolic calculus: interaction for N [times] N systems57
4.1Introduction57
4.2Conormal distributions precised at the wedge58
4.3Conormal regularity of the solution63
4.4Principal symbol of the solution70
4.5Examples79
Chapter 5Symbolic calculus: interaction of piecewise smooth waves81
5.1Introduction81
5.2Symbols and piecewise smooth regularity84
5.3Application: appearance of logarithmic singularities94
Principal notations99
Bibliography101
Index105
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