Inhomogeneous Strichartz estimates for the Schrödinger equation

By Mari Cruz Vilela. 2006

95 citations recorded by the source corpus.

We study Strichartz estimates for the solution of the Cauchy problem associated with the inhomogeneous free Schrodinger equation in the case when the inital data is equal to zero, proving some new estimates for certain exponents and giving counterexamples for some others.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/d4723b412fdc45008f1ba4aeeaf13efa54becbcd

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In Applied Mathematics

1. Rowan Killip
2. Xiaoyi Zhang
3. Carlos E. Kenig
4. Monica Visan
5. B. Dodson
6. Aynur Bulut
7. F. Merle
8. M. Vi

In Mathematical Physics

1. B. Dodson
2. Carlos E. Kenig
3. Rowan Killip
4. Monica Visan
5. Xiaoyi Zhang
6. F. Merle
7. Aynur Bulut
8. Terence Tao

Citations in the corpus

• Nondispersive radial solutions to energy supercritical non-linear wave equations, with applications (2008, result): “This estimate follows by results of Harmse [12], Oberlin [28], Foschi [8], Vilela [39] and Taggart [34].”
• Scattering for the focusing L2-supercritical and Ḣ2-subcritical biharmonic NLS equations (2015, background): “We also refer to [6, 14, 15, 29] for more precise discussion on the inhomogeneous Strichartz estimates.”
• Quintic NLS in the exterior of a strictly convex obstacle (2012, background): “The endpoint cases and exotic retarded estimates are more delicate; see [23, 40, 69].”
• Nonlinear Schrodinger Equations at Critical Regularity (2013, background): “For the largest set of exponents currently known (and a discussion of counterexamples), see [25, 101].”
• Continuous dependence for NLS in fractional order spaces (2010, background): “1for more general estimates of this type, see [14, 10, 25].”