Local well‐posedness of nonlinear dispersive equations on modulation spaces

By 'Arp'ad B'enyi, Kasso Okoudjou. 2007

139 citations recorded by the source corpus.

By using tools of time‐frequency analysis, we obtain some improved local well‐posedness results for the nonlinear Schrödinger, nonlinear wave and nonlinear Klein–Gordon equations with Cauchy data in modulation spaces ℳ0,sp,1 .

Subfields: Applied Mathematics, Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/d8bbb7210069b9ca025e5199cbb177deb6d74393

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In Applied Mathematics

1. Oana Pocovnicu
2. Fabio Di Nicola
3. Elena Cordero
4. Tadahiro Oh
5. 'Arp'ad B'enyi
6. Karlheinz Gröchenig
7. Qiyu Sun
8. J. Toft

In Mathematical Physics

1. Oana Pocovnicu
2. Tadahiro Oh
3. Fabio Di Nicola
4. Elena Cordero
5. 'Arp'ad B'enyi
6. Karlheinz Gröchenig
7. Gigliola Staffilani
8. Andrea R. Nahmod

In Statistical and Nonlinear Physics

1. Fabio Di Nicola
2. Elena Cordero
3. Oana Pocovnicu
4. 'Arp'ad B'enyi
5. Tadahiro Oh
6. James E. Colliander

Citations in the corpus

• WIENER RANDOMIZATION ON UNBOUNDED DOMAINS AND AN APPLICATION TO ALMOST SURE WELL-POSEDNESS OF NLS (2014, background): “1) has also been studied for initial data in the modulation spaces M s for 1 ≤ p ≤ ∞ and s ≥ 0; see, for example, [5] and [53].”
• Remarks on Fourier multipliers and applications to the Wave equation (2008, methodology): “Multiplier estimates In this section we first prove estimates in M s for the multipliers arising in the wave propagator, refining those in [1, 3].”