Global existence of small solutions to semilinear Schroedinger equations
Journal Article
·
· Communications in Partial Differential Equations
OSTI ID:255084
- Kyoto Univ., Kyoto (Japan)
We present global existence theorem for semilinear Schrodinger equations. In general, Schrodinger-type equations do not admit the classical energy estimates. To avoid this difficulty, we use S. Doi`s method for linear Schrodinger-type equations. Combining his method and L{sup p}-L{sup q} estimates, we prove the global existence of solutions with small initial data.
- OSTI ID:
- 255084
- Journal Information:
- Communications in Partial Differential Equations, Journal Name: Communications in Partial Differential Equations Journal Issue: 1-2 Vol. 21; ISSN 0360-5302; ISSN CPDIDZ
- Country of Publication:
- United States
- Language:
- English
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