Sobolev Periodic Solutions of Nonlinear Wave Equations in Higher Spatial Dimensions

By Massimiliano Berti, P. Bolle. 2010

65 citations recorded by the source corpus.

Subfields: Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/9b59c815fcd8285d0e7bda467919fd9c61367816

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Mathematical Physics

1. Michela Procesi
2. Massimiliano Berti
3. Ivar Ekeland
4. P. Bolle
5. Riccardo Montalto
6. Pierre Baldi
7. C. Procesi

In Statistical and Nonlinear Physics

1. Massimiliano Berti
2. P. Bolle
3. Michela Procesi
4. Ivar Ekeland
5. Riccardo Montalto
6. Pierre Baldi
7. Livia Corsi
8. Nicolas Bonnotte

Citations in the corpus

• An Inverse Function Theorem in Frechet Spaces (2010, methodology): “ [4], [13]) , this loss of derivatives has been overcome by using the Newton procedure: the equation F(x) = yis solved by the iteration scheme xn+1 = xn−L(xn)F(xn) ([15], [11], [12]; see [9], [1] and [5] for more recent expositions). This method has two drawbacks. The first one is that it requires th”
• Nonlinear wave and Schrödinger equations on compact Lie groups and homogeneous spaces (2011, methodology): “following Lemma 3.2 of [ 4 ], see remark A.1.”
• Quasi-periodic solutions with Sobolev regularity of NLS on T^d with a multiplicative potential (2010, methodology): “In order to achieve a partition into clusters we use the notion of “chain” of N -bad sites already used for the search of periodic solutions of NLS and NLW in higher dimensions in [7], [3].”