By Hans Ringstrom

ISBN-10: 3037190531

ISBN-13: 9783037190531

Advent define half I. historical past from the idea of partial differential equations: practical research The Fourier remodel Sobolev areas Sobolev embedding Symmetric hyperbolic structures Linear wave equations neighborhood life, non-linear wave equations half II. history in geometry, international hyperbolicity and specialty: easy Lorentz geometry Characterizations of world hyperbolicity strong point of recommendations to linear wave equations half III. normal relativity: The constraint equations neighborhood life Cauchy balance lifestyles of a maximal globally hyperbolic improvement half IV. Pathologies, robust cosmic censorship: Preliminaries consistent suggest curvature preliminary information Einstein's vacuum equations Closed universe recollapse Asymptotic behaviour LRS Bianchi type A suggestions lifestyles of extensions life of inequivalent extensions Appendices Bibliography Index

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