Add to ORKGIn this talk I investigate the well-posedness of the Cauchy Problem associated to a quasilinear Schrödinger equation which has been used for the description of propagation pulses in optical fibers. Local and global existence is obtained with the use of gauge transforms, without any smallness condition on the initial data
AbstractWe establish that the quadratic non-linear Schrödinger equation iut+uxx=u2,where u:R×R→C, is...
AbstractIn this article, we prove local well-posedness in low-regularity Sobolev spaces for general ...
We study the Cauchy problem of the derivative nonlinear Schrodinger equation in one space dimension....
The Nonlinear Schrödinger equation (NLSE) is a prototypical example of nonlinear partial differentia...
AbstractWe establish local well-posedness for small initial data in the usual Sobolev spaces Hs(R), ...
In this work, we study at the L2 – level global well-posedness as well as long-time stability of an ...
The nonlinear Schrödinger equation has received a great deal of attention from mathematicians, in pa...
AbstractA class of quasilinear Schrödinger equations is studied which contain strongly singular nonl...
The propagation of light in a guided medium is generally described by the Maxwell's equations. For l...
We consider the initial value problem (IVP) for certain semilinear wave equations in two dimensions....
We consider the initial value problem for various type of nonlinear Schrödinger equations with deriv...
We study the Cauchy problem of the derivative nonlinear Schrodinger equation in one space dimension....
We prove a local in time well-posedness result for quasi-linear Hamiltonian Schrödinger equations on...
We prove a local in time well-posedness result for quasi-linear Hamiltonian Schrödinger equations on...
The Schrödinger equation, an equation central to quantum mechanics, is a dispersive equation which m...
AbstractWe establish that the quadratic non-linear Schrödinger equation iut+uxx=u2,where u:R×R→C, is...
AbstractIn this article, we prove local well-posedness in low-regularity Sobolev spaces for general ...
We study the Cauchy problem of the derivative nonlinear Schrodinger equation in one space dimension....
The Nonlinear Schrödinger equation (NLSE) is a prototypical example of nonlinear partial differentia...
AbstractWe establish local well-posedness for small initial data in the usual Sobolev spaces Hs(R), ...
In this work, we study at the L2 – level global well-posedness as well as long-time stability of an ...
The nonlinear Schrödinger equation has received a great deal of attention from mathematicians, in pa...
AbstractA class of quasilinear Schrödinger equations is studied which contain strongly singular nonl...
The propagation of light in a guided medium is generally described by the Maxwell's equations. For l...
We consider the initial value problem (IVP) for certain semilinear wave equations in two dimensions....
We consider the initial value problem for various type of nonlinear Schrödinger equations with deriv...
We study the Cauchy problem of the derivative nonlinear Schrodinger equation in one space dimension....
We prove a local in time well-posedness result for quasi-linear Hamiltonian Schrödinger equations on...
We prove a local in time well-posedness result for quasi-linear Hamiltonian Schrödinger equations on...
The Schrödinger equation, an equation central to quantum mechanics, is a dispersive equation which m...
AbstractWe establish that the quadratic non-linear Schrödinger equation iut+uxx=u2,where u:R×R→C, is...
AbstractIn this article, we prove local well-posedness in low-regularity Sobolev spaces for general ...
We study the Cauchy problem of the derivative nonlinear Schrodinger equation in one space dimension....