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2012, Mathematical surveys and monographs, ISBN 9780821889817, Volume 183, vii, 317
Book
Annales de l'Institut Henri Poincaré / Analyse non linéaire, ISSN 0294-1449, 11/2016, Volume 33, Issue 6, pp. 1589 - 1638
We prove the existence and the stability of Cantor families of quasi-periodic, small amplitude solutions of (i.e. ) autonomous Hamiltonian differentiable... 
Nash–Moser theory | Quasi-periodic solutions | KdV | KAM for PDEs | Quasi-linear PDEs | PERIODIC-SOLUTIONS | MATHEMATICS, APPLIED | SINGULARITIES | NONLINEAR SCHRODINGER-EQUATION | Nash-Moser theory | PARTIAL-DIFFERENTIAL-EQUATIONS | SMALL DIVISOR PROBLEMS | WAVE-EQUATIONS | IMPLICIT FUNCTION THEOREMS
Journal Article
Communications in Mathematical Physics, ISSN 0010-3616, 04/2007, Volume 271, Issue 1, pp. 199 - 221
In this paper we consider systems of coupled Schrödinger equations which appear in nonlinear optics. The problem has been considered mostly in the... 
Analysis of PDEs | Mathematics
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 02/2018, Volume 264, Issue 3, pp. 1786 - 1840
We prove internal controllability in arbitrary time, for small data, for quasi-linear Hamiltonian NLS equations on the circle. We use a procedure of reduction... 
INTERVAL | MATHEMATICS | PERIODIC-SOLUTIONS | WAVES | PERTURBATIONS | STABILIZATION | KAM | NONLINEAR SCHRODINGER-EQUATION | KDV | LOCAL-CONTROLLABILITY | GRAVITY
Journal Article
2012, Graduate studies in mathematics, ISBN 9780821883204, Volume 138, xii, 431
Book
Analysis and PDE, ISSN 2157-5045, 2017, Volume 10, Issue 2, pp. 281 - 322
Journal Article
Communications in Mathematical Physics, ISSN 0010-3616, 11/2017, Volume 369, Issue 3, pp. 1021 - 1053
Commun. Math. Phys. 369 (2019), 1021-1053 In this paper, we define a quantum analogue of the notion of empirical measure in the classical mechanics of... 
Analysis of PDEs | Mathematics
Journal Article
Classical and Quantum Gravity, ISSN 0264-9381, 05/1998, Volume 15, Issue 5, pp. 1339 - 1355
We use the Fuchsian algorithm to construct singular solutions of Einstein's equations which belong to the class of Gowdy spacetimes. The solutions have the... 
PHYSICS, MULTIDISCIPLINARY | BLOW-UP | General Relativity and Quantum Cosmology | Mathematics | Functional Analysis | Analysis of PDEs | Physics
Journal Article
Journal of Inverse and Ill-posed Problems, ISSN 0928-0219, 02/2002, Volume 10, Issue 1, pp. 37 - 66
- We consider the problem of reconstructing of the boundary of an unknown inclusion together with its conducticity from the localized Dirichlet-to- Neumann... 
Mathematics - Analysis of PDEs
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 09/2019, Volume 267, Issue 6, pp. 3561 - 3577
We consider the motion of several rigid bodies immersed in a two-dimensional incompressible perfect fluid, the whole system being bounded by an external... 
Analysis of PDEs | Mathematics
Journal Article
Transportation Research Part B: Methodological, ISSN 0191-2615, 04/2019
Transportation Research Part B: Methodological, 2019 This paper presents a formulation of the reactive dynamic user equilibrium problem in continuum form using... 
Mathematics - Analysis of PDEs
Journal Article
ESAIM: Mathematical Modelling and Numerical Analysis, ISSN 0764-583X, 5/2007, Volume 41, Issue 3, pp. 575 - 605
Journal Article
11/2018, Series in Contemporary Mathematics, Issue 3
INTRODUCTIONThis is the first book on the subject of the periodic unfolding method (originally called "éclatement périodique" in French), which was originally... 
Analysis of PDEs | Mathematics
Book
Coastal Engineering, ISSN 0378-3839, 08/2019, Volume 150, pp. 147 - 159
Journal Article
Inverse Problems, ISSN 0266-5611, 05/2019
The first part of this paper is concerned with the uniqueness to inverse time-harmonic elastic scattering from bounded rigid obstacles in two dimensions. It is... 
Mathematics - Analysis of PDEs
Journal Article
Inverse Problems, ISSN 0266-5611, 05/2019
This paper is concerned with analysis of electromagnetic wave scattering by an obstacle which is embedded in a two-layered lossy medium separated by an... 
Mathematics - Analysis of PDEs
Journal Article
Inventiones Mathematicae, ISSN 0020-9910, 08/2019, Volume 217, Issue 2, p. 241
We consider the two dimensional gravity water wave equation in a regime where the free interface is allowed to be non- C.sup.1 C 1 . In this regime, only a... 
Mathematics - Analysis of PDEs
Journal Article
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