[CITATION][C] Semilinear Schrodinger equations
T Cazenave - New York University, Courant Institute of …, 2003 - books.google.com
The nonlinear Schrodinger equation has received a great deal of attention from
mathematicians, particularly because of its applications to nonlinear optics. It is also a good …
mathematicians, particularly because of its applications to nonlinear optics. It is also a good …
[BOOK][B] Nonlinear dispersive equations: local and global analysis
T Tao - 2006 - books.google.com
Among nonlinear PDEs, dispersive and wave equations form an important class of
equations. These include the nonlinear Schrodinger equation, the nonlinear wave equation …
equations. These include the nonlinear Schrodinger equation, the nonlinear wave equation …
Is Physics Informed Loss Always Suitable for Training Physics Informed Neural Network?
Abstract The Physics-Informed Neural Network (PINN) approach is a new and promising
way to solve partial differential equations using deep learning. The $ L^ 2$ Physics-Informed …
way to solve partial differential equations using deep learning. The $ L^ 2$ Physics-Informed …
KdV is well-posed in
We prove global well-posedness of the Korteweg--de Vries equation for initial data in the
space H^-1(R). This is sharp in the class of H^s(R) spaces. Even local well-posedness was …
space H^-1(R). This is sharp in the class of H^s(R) spaces. Even local well-posedness was …
The Cauchy problem for the Novikov equation
This work studies the initial value problem for a Camassa–Holm type equation with cubic
nonlinearities that has been recently discovered by Vladimir Novikov to be integrable. For s> …
nonlinearities that has been recently discovered by Vladimir Novikov to be integrable. For s> …
Well-posedness and scattering for the KP-II equation in a critical space
The Cauchy problem for the Kadomtsev–Petviashvili-II equation [Formula: see text] is
considered. A small data global well-posedness and scattering result in the scale invariant …
considered. A small data global well-posedness and scattering result in the scale invariant …
Global wellposedness of KdV in
T Kappeler, P Topalov - 2006 - projecteuclid.org
GLOBAL WELLPOSEDNESS OF KdV IN H (T,R) Page 1 GLOBAL WELLPOSEDNESS OF
KdV IN H −1 (T,R) T. KAPPELER and P. TOPALOV Abstract By the inverse method we show …
KdV IN H −1 (T,R) T. KAPPELER and P. TOPALOV Abstract By the inverse method we show …
Ill-posedness for nonlinear Schrodinger and wave equations
The nonlinear wave and Schrodinger equations on Euclidean space of any dimension, with
general power nonlinearity and with both the focusing and defocusing signs, are proved to …
general power nonlinearity and with both the focusing and defocusing signs, are proved to …
[BOOK][B] Modulation spaces
Á Bényi, KA Okoudjou, Á Bényi, KA Okoudjou - 2020 - Springer
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Account Menu Find a journal Publish with us Track your research Search Cart Book cover …
Account Menu Find a journal Publish with us Track your research Search Cart Book cover …
On the local well-posedness of the Benjamin-Ono equation in Hs(ℝ)
On the local well-posedness of the Benjamin-Ono equation in Hs(R) Page 1 IMRN
International Mathematics Research Notices 2003, No. 26 On the Local Well-Posedness of …
International Mathematics Research Notices 2003, No. 26 On the Local Well-Posedness of …