Enclosure of solutions for elliptic boundary value problems with nonmonotone discontinuous nonlinearity
Encore des classes de symboles
Encore sur les équations hyperboliques avec petit paramètre dans les espaces de Banach généraux
Energetic estimates analogous to the Saint-Venant principle and their applications
Energies of -valued harmonic maps on polyhedra with tangent boundary conditions
Énergies relaxées pour applications harmoniques
Energy and Morse index of solutions of Yamabe type problems on thin annuli
We consider the Yamabe type family of problems , in , on , where is an annulus-shaped domain of , , which becomes thinner as . We show that for every solution , the energy as well as the Morse index tend to infinity as . This is proved through a fine blow up analysis of appropriate scalings of solutions whose limiting profiles are regular, as well as of singular solutions of some elliptic problem on , a half-space or an infinite strip. Our argument also involves a Liouville type theorem...
Energy concentration for the Landau–Lifshitz equation
Energy Convergence Results for Strongly Damped Nonlinear Wave Equations.
Energy Critical nonlinear Schrödinger equations in the presence of periodic geodesics
This is a report on recent progress concerning the global well-posedness problem for energy-critical nonlinear Schrödinger equations posed on specific Riemannian manifolds with small initial data in . The results include small data GWP for the quintic NLS in the case of the flat rational torus and small data GWP for the corresponding cubic NLS in the cases and . The main ingredients are bi-linear and tri-linear refinements of Strichartz estimates which obey the critical scaling, as well...
Energy decay estimates for the damped Euler-Bernoulli equation with an unbounded localizing coefficient.
Energy decay for solutions to semilinear systems of elastic waves in exterior domains.
Energy decay for wave equations of -Laplacian type with weakly nonlinear dissipation.
Energy decay of solutions of a wave equation of -Laplacian type with a weakly nonlinear dissipation.
Energy error estimates for a linear scheme to approximate nonlinear parabolic problems
Energy error estimates for the projection-difference method with the Crank--Nicolson scheme for parabolic equations.
Energy estimate for wave equations with coefficients in some Besov type class.
Energy Functionals in Scattering Theory
Energy inequalities for a model of wave propagation in cold plasma.
Energy quantization and mean value inequalities for nonlinear boundary value problems
We give a unified statement and proof of a class of well known mean value inequalities for nonnegative functions with a nonlinear bound on the Laplacian. We generalize these to domains with boundary, requiring a (possibly nonlinear) bound on the normal derivative at the boundary. These inequalities give rise to an energy quantization principle for sequences of solutions of boundary value problems that have bounded energy and whose energy densities satisfy nonlinear bounds on the Laplacian and normal...