Solution to a system of equations modelling compressible fluid flow with capillary stress effects.
Solution to a transmission problem for quasilinear pseudoparabolic equations by the Rothe method.
Solutions fortes pour des problèmes aux limites du second ordre dégénérés
Solutions in Gevrey spaces of partial differential equations with constant coefficients
Si dà una condizione sufficiente per la esistenza di una soluzione in uno spazio di Gevrey , razionale , , di una equazione lineare a derivate parziali a coefficienti costanti , quando . La dimostrazione completa dei risultati ottenuti è contenuta in una nota dell’autore in corso di pubblicazione su "Astérisque".
Some estimates of Schrödinger-type operators with certain nonnegative potentials.
Some estimates of solutions to Monge-Ampère type equations in dimension two
Some models of Cahn-Hilliard equations in nonisotropic media
We derive in this article some models of Cahn-Hilliard equations in nonisotropic media. These models, based on constitutive equations introduced by Gurtin in [19], take the work of internal microforces and also the deformations of the material into account. We then study the existence and uniqueness of solutions and obtain the existence of finite dimensional attractors.
Some priori estimates about solutions to nonhomogeneous -harmonic equations.
Some remarkable properties of -graphs.
Some remarks on gradient estimates for heat kernels.
Some special properties of solutions to obstacle problems
Some theorems of Phragmen-Lindelof type for nonlinear partial differential equations.
The present paper studies second order partial differential equations in two independent variables of the form Div(ρ1|u,1|n-1u,1, ρ2|u,2|n-1u,2) = 0. We obtain decay estimates for the solutions in a semi-infinite strip. The results may be seen as theorems of Phragmen-Lindelof type. The method is strongly based on the ideas of Horgan and Payne [5], [6], [8].
Some theorems on partial differential inequalities of parabolic type
Some Uniqueness and Growth Theorems in the Cauchy Problem for P utt + M ut + Nu = 0 in Hilbert Space.
Space dimension can prevent the blow-up of solutions for parabolic problems.
Spatial decay estimates for a class of nonlinear damped hyperbolic equations.
Spectral convergence of the discrete Laplacian on models of a metrized graph.
Spectral element discretization of the heat equation with variable diffusion coefficient
We are interested in the discretization of the heat equation with a diffusion coefficient depending on the space and time variables. The discretization relies on a spectral element method with respect to the space variables and Euler's implicit scheme with respect to the time variable. A detailed numerical analysis leads to optimal a priori error estimates.
Spikes in two coupled nonlinear Schrödinger equations
Stability results for Harnack inequalities
We develop new techniques for proving uniform elliptic and parabolic Harnack inequalities on weighted Riemannian manifolds. In particular, we prove the stability of the Harnack inequalities under certain non-uniform changes of the weight. We also prove necessary and sufficient conditions for the Harnack inequalities to hold on complete non-compact manifolds having non-negative Ricci curvature outside a compact set and a finite first Betti number or just having asymptotically...