Office of Academic Resources
Chulalongkorn University
Chulalongkorn University

Home / Help

AuthorAlinhac, Serge. author
TitleBlowup for Nonlinear Hyperbolic Equations [electronic resource] / by Serge Alinhac
ImprintBoston, MA : Birkhรคuser Boston, 1995
Connect tohttp://dx.doi.org/10.1007/978-1-4612-2578-2
Descript 113 p. online resource

CONTENT

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 ร{151} 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


Mathematics Mathematical analysis Analysis (Mathematics) Partial differential equations Mathematics Partial Differential Equations Analysis



Location



Office of Academic Resources, Chulalongkorn University, Phayathai Rd. Pathumwan Bangkok 10330 Thailand

Contact Us

Tel. 0-2218-2929,
0-2218-2927 (Library Service)
0-2218-2903 (Administrative Division)
Fax. 0-2215-3617, 0-2218-2907

Social Network

  line

facebook   instragram