Solutions régulières globales du problème de Cauchy pour les équations des ondes non linéaires. (Global classical solutions to the Cauchy problem for nonlinear wave equations)
Solutions régulières globales du problème de Cauchy pour les équations des ondes non linéaires. (Global classical solutions to the Cauchy problem for nonlinear wave equations)
Summary: In this note we prove the global existence of classical solutions to the Cauchy problem for general nonlinear wave equations with small initial data.
decay estimates, global existence, Cauchy problem, nonlinear wave equations, energy estimates, Smoothness and regularity of solutions to PDEs, linear homogeneous wave equations, existence, small parameter, Initial value problems for second-order hyperbolic equations, unique global classical solution, contraction mapping principle, classical solutions, General existence and uniqueness theorems (PDE), Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, Second-order nonlinear hyperbolic equations, small initial data
decay estimates, global existence, Cauchy problem, nonlinear wave equations, energy estimates, Smoothness and regularity of solutions to PDEs, linear homogeneous wave equations, existence, small parameter, Initial value problems for second-order hyperbolic equations, unique global classical solution, contraction mapping principle, classical solutions, General existence and uniqueness theorems (PDE), Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, Second-order nonlinear hyperbolic equations, small initial data