Abel's theorem and the allied theory, including the theory - download pdf or read online

By H.F. Baker

ISBN-10: 140675000X

ISBN-13: 9781406750003

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By H.F. Baker

ISBN-10: 140675000X

ISBN-13: 9781406750003

Show description

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Extra resources for Abel's theorem and the allied theory, including the theory of the theta functions

Example text

Jnst. Fourier, Grenoble 35,2 (1985) 145-216 [34] G. Lebeau. P. Ee. Polytechnique (1988-89) nOlO [35) E. egularite microlocale pour des problemes de Dirichlet non lineaires non caracteristiques d'ordre deux a bord peu regulier. Bull. Soc. Math. Franee 115 (1987) 457-489 [36] R. Melrose. P. SC Jean de Monts (1987) nO 10 [37] R. Melrose et N. Ritter. Interaction of progressing waves for semi-linear wave equation I. Ann. of Math. 121 (1985) 149-236 45 [38] R. Melrose et N. Ritter. Interaction of progressing waves for semi-linear wave equation II.

N s'y ajoute dans Ie cas non-lineaire un cone d'onde issu du point de naissance de la singularites, dont la section est Ie cercle en traits fins. La solution u est de classe Coo en dehors des surfaces precedentes. Pres des points lisses, Ie front d'onde est contenu dans Ie conormal de la surface. En outre, d'apres Ie resultat de DeIon mentionne ci-dessus, la solution est conormale en ces points, ce qui permet d'etudier des interactions ulterieures. Ces resultats sont fournis par Ie calcul explicite de l'ensemble de suites e, qui est loin d'etre facile.

1 Symbols and operators. 2 The calculus. 3 L2 continuity, operators of negative class, adjoints. 4 Continuity in Lp Sobolev spaces. 3. 1 Parameter-dependent pseudo-differential operators. 2 Parameter-dependent boundary symbols. 3 Continuity in parameter-dependent Sobolev spaces. 4 Parameter-elliptic systems. 4. 1 Normal boundary conditions. 2 Parabolic problems. 3 Solution of semihomogeneous problems. 5. 1 Anisotropic Sobolev spaces. 2 Compatibility conditions. 3 The fully inhomogeneous problem.

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Abel's theorem and the allied theory, including the theory of the theta functions by H.F. Baker


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