Bilinear estimates and applications to nonlinear wave equations

Communications in Contemporary Mathematics

Volumn 4, Issue 2, 2002, Pages 223-295

  Klainerman, Sergiu ^a   Selberg, Sigmund ^b  

^a PRINCETON UNIVERSITY   (United States)

^b JOHNS HOPKINS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036015432     PISSN: 02191997     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219199702000634     Document Type: Article

References (51)

1. Self-spreading and strength of singularities for solution to semilinear wave equations
2. Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations I: Schrödinger equations, II: The KdV equation
3. Local existence for the Maxwell-Dirac equations in three space dimensions
4. Local existence for energy class solutions for the Dirac-Klein-Gordon equations
5. Oscillatory Integrals and the multiplier problem for the disc
6. Equations d'ondes quasilineaires et effect dispersif
7. Equations d'ondes quasilineaires et estimations de Strichartz
8. On the regularity of spherically symmetric wave maps
9. 3+1
10. 2 bilinear estimates for wave equations
11. Regularity of weakly harmonic maps from a surface into a manifold with symmetries
12. Global and unique weak solutions of nonlinear wave equations
13. 3+1
14. Endpoint Strichartz estimates
15. 1+1 for rough data
16. Well-posedness and scattering results for the generalized KdV equation via the contraction principle
17. The Cauchy problem for the KdV equation in Sobolev spaces of negative indices
18. Long time behavior of solutions to nonlinear wave equations
19. PDE as a unified subject
20. Space-time estimates for null forms and the local existence theorem
21. On the regularity properties of the wave equation
22. On the Maxwell-Klein-Gordon equation with finite energy
23. 3+1
24. Smoothing estimates for null forms and applications
25. On the regularity properties of a model problem related to wave maps
26. Remark on Strichartz type inequalities
27. s,δ
28. On the optimal local regularity for gauge field theories
29. Remark on the optimal regularity for equations of wave maps type
30. 4+1
31. Counterexamples to local existence for semilinear wave equations
32. On the existence and scattering with minimal regularity for semilinear wave equations
33. Fourier analysis of null forms and nonlinear wave equations
34. Remarques sur un theoreme de J. M. Bony
35. Local regularity of nonlinear wave equations in three space dimensions
36. On an estimate for the wave equation and applications to nonlinear problems
37. 1+4
38. Geometric wave equations
39. Well-posedness in energy space for semilinear wave equations with critical growth
40. Evolution problems in geometry and mathematical physics
41. Restriction of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
42. Local and global results for wave maps I
43. Strichartz estimates for operators with nonsmooth coefficients and the nonlinear wave equation
44. A sharp bilinear cone restriction estimate