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Field name	Details
Dewey Class	515.353
Title	Blowup for Nonlinear Hyperbolic Equations ([EBook]) / by Serge Alinhac.
Author	Alinhac, Serge
Other name(s)	SpringerLink (Online service)
Publication	Boston, MA : Birkhäuser , 1995.
Physical Details	113 pages : online resource.
Series	Progress in nonlinear differential equations and their applications ; 17
ISBN	9781461225782
Contents note	I. The Two Basic Blowup Mechanisms -- A. The ODE mechanism -- B. The geometric blowup mechanism -- C. Combinations of the two mechanisms -- Notes -- II. First Concepts on Global Cauchy Problems -- 1. Short time existence -- 2. Lifespan and blowup criterion -- 3. Blowup or not? Functional methods -- 4. Blowup or not? Comparison and averaging methods -- Notes -- III. Semilinear Wave Equations -- 1. Semilinear blowup criteria -- 2. Maximal influence domain -- 3. Maximal influence domains for weak solutions -- 4. Blowup rates at the boundary of the maximal influence domain -- 5. An example of a sharp estimate of the lifespan -- Notes -- IV. Quasilinear Systems in One Space Dimension -- 1. The scalar case -- 2. Riemann invariants, simple waves, and L1-boundedness -- 3. The case of 2 × 2 systems -- 4. General systems with small data -- 5. Rotationally invariant wave equations -- Notes -- V. Nonlinear Geometrical Optics and Applications -- 1. Quasilinear systems in one space dimension -- 2. Quasilinear wave equations -- 3. Further results on the wave equation -- Notes.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-1-4612-2578-2
Links to Related Works	Subject References: Analysis . Analysis (Mathematics) . Mathematical analysis . Mathematics . Partial differential equations . Authors: Alinhac, Serge . Corporate Authors: SpringerLink (Online service) . Series: Progress in nonlinear differential equations and their applications . Classification: 515.353 .

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Blowup for Nonlinear Hyperbolic Equations

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