On an initial‐boundary value problem for the nonlinear Schrödinger equation
Copyright policy )On an initial‐boundary value problem for the nonlinear Schrödinger equation
We study an initial‐boundary value problem for the nonlinear Schrödinger equation, a simple mathematical model for the interaction between electromagnetic waves and a plasma layer. We prove a global existence and uniqueness theorem and establish a Galerkin method for solving numerically the problem.
interaction between electromagnetic waves and a plasma layer, Partial differential equations of mathematical physics and other areas of application, a priori estimates, convergence of Fourier's method., convergence of Fourier's method, unique global solution, conserved integrals, Existence of generalized solutions of PDE, A priori estimates in context of PDEs, global existence and uniqueness, Regularity of generalized solutions of PDE, Schrödinger operator, Schrödinger equation, QA1-939, General existence and uniqueness theorems (PDE), Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, nonlinear Schrödinger equation, initial-boundary value problem, Galerkin method, Mathematics
interaction between electromagnetic waves and a plasma layer, Partial differential equations of mathematical physics and other areas of application, a priori estimates, convergence of Fourier's method., convergence of Fourier's method, unique global solution, conserved integrals, Existence of generalized solutions of PDE, A priori estimates in context of PDEs, global existence and uniqueness, Regularity of generalized solutions of PDE, Schrödinger operator, Schrödinger equation, QA1-939, General existence and uniqueness theorems (PDE), Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, nonlinear Schrödinger equation, initial-boundary value problem, Galerkin method, Mathematics
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