Time-periodic weak solutions.
Transformation de Kelvin et ondes non linéaires globales
Über die klassische Lösbarkeit des Cauchy-Problems für nichtlineare Wellengleichungen bei kleinen Anfangswerten und das asymptotische Verhalten der Lösungen.
Un analogue du théorème d'Efimov en courbure variable
Une note sur les méthodes de caractéristiques et de Lesaint-Raviart pour les problèmes hyperboliques stationnaires
Uniform decay for a hyperbolic system with differential inclusion and nonlinear memory source term on the boundary
We prove the existence and uniform decay rates of global solutions for a hyperbolic system with a discontinuous and nonlinear multi-valued term and a nonlinear memory source term on the boundary.
Uniform stabilization for elastic waves system with highly nonlinear localized dissipation.
Uniform stabilization of solutions to a quasilinear wave equation with damping and source terms
In this note we prove the exponential decay of solutions of a quasilinear wave equation with linear damping and source terms.
Unstable simple modes for a class of Kirchhoff equations
Upper estimate of the interval of existence of solutions of a nonlinear Timoshenko equation.
Variational methods in nonlinear problems
Weak formulation for nonlinear hyperbolic Stefan problems.
Weak solutions for a viscous -Laplacian equation.
Weak solutions to a nonlinear variational wave equation with general data
Weakly hyperbolic equations with time degeneracy in Sobolev spaces.
Well posedness and control of semilinear wave equations with iterated logarithms
Well posedness and control of semilinear wave equations with iterated logarithms
Motivated by a classical work of Erdős we give rather precise necessary and sufficient growth conditions on the nonlinearity in a semilinear wave equation in order to have global existence for all initial data. Then we improve some former exact controllability theorems of Imanuvilov and Zuazua.
Young-measure approximations for elastodynamics with non-monotone stress-strain relations
Microstructures in phase-transitions of alloys are modeled by the energy minimization of a nonconvex energy density . Their time-evolution leads to a nonlinear wave equation with the non-monotone stress-strain relation plus proper boundary and initial conditions. This hyperbolic-elliptic initial-boundary value problem of changing types allows, in general, solely Young-measure solutions. This paper introduces a fully-numerical time-space discretization of this equation in a corresponding very...
Young-Measure approximations for elastodynamics with non-monotone stress-strain relations
Microstructures in phase-transitions of alloys are modeled by the energy minimization of a nonconvex energy density ϕ. Their time-evolution leads to a nonlinear wave equation with the non-monotone stress-strain relation plus proper boundary and initial conditions. This hyperbolic-elliptic initial-boundary value problem of changing types allows, in general, solely Young-measure solutions. This paper introduces a fully-numerical time-space discretization of this equation in a corresponding...
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