Global solutions of nonlinear Schrödinger equations
Jean Bourgain
This volume presents recent progress in the theory of nonlinear dispersive equations, primarily the nonlinear Schrodinger (NLS) equation. The Cauchy problem for defocusing NLS with critical nonlinearity is discussed. New techniques and results are described on global existence and properties of solutions with large Cauchy data. Current research in harmonic analysis around Strichartz's inequalities and its relevance to nonlinear PDE is presented. Several topics in NLS theory on bounded domains are reviewed. Using the NLS as an example, the book offers comprehensive insight on current research related to dispersive equations and Hamiltonian PDEs.
หมวดหมู่:
ปี:
1999
สำนักพิมพ์:
American Mathematical Society
ภาษา:
english
ISBN 10:
0821819194
ISBN 13:
9780821819197
ซีรีส์:
Colloquium Publications 46
ไฟล์:
PDF, 13.68 MB
IPFS:
,
english, 1999
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