Error estimates for finite element methods for semilinear parabolic problems with nonsmooth data
Error Estimates for Semidiscrete Galerkin Type Approximations for Semilinear Evolution Equations with Nonsmooth Initial Data.
Error Estimates of a Galerkin Method for Some Nonlinear Sobolev Equations in one Space Dimension.
Estimates of solutions of impulsive parabolic equations and applications to the population dynamics.
A theorem on estimates of solutions of impulsive parabolic equations by means of solutions of impulsive ordinary differential equations is proved. An application to the population dynamics is given.
Estimations C1 pour des problèmes paraboliques semi-linéaires
Eventual monotonicity and convergence to travelling fronts for the solutions of parabolic equations in cylinders
Évolution d'une interface par capillarité et diffusion de volume. Estimations a priori et résultats d'existence
Exact boundary controllability for higher order nonlinear Schrödinger equations with constant coefficients.
Exceptional sets for solutions to quasilinear parabolic equations in weighted Sobolev spaces.
Existence and nonexistence of solutions for a model of gravitational interaction of particles, II
We study the existence and nonexistence in the large of radial solutions to a parabolic-elliptic system with natural (no-flux) boundary conditions describing the gravitational interaction of particles. The blow-up of solutions defined in the n-dimensional ball with large initial data is connected with the nonexistence of radial stationary solutions with a large mass.
Existence and nonexistence of solutions for a model of gravitational interaction of particles, III
Existence and nonexistence of solutions for a model of gravitational interaction of particles, I
We study the existence of stationary and evolution solutions to a parabolic-elliptic system with natural (no-flux) boundary conditions describing the gravitational interaction of particles.
Existence and nonexistence results for a class of linear and semilinear parabolic equations related to some Caffarelli-Kohn-Nirenberg inequalities
In this work we study the problem in , in , on , in , is a bounded regular domain such that , , , , and are positive functions such...
Existence and non-existence results for a nonlinear heat equation.
Existence and regularity of a global attractor for doubly nonlinear parabolic equations.
Existence and stability of periodic solutions for a nonlocal evolution population problem.
The theory of maximal monotone operators is applied to prove the existence of weak periodic solutions for a nonlinear nonlocal problem. The stability of these solutions is a consequence of the Lipschitz continuous assumption on the diffusivity matrix and the death rate.
Existence and stability theorems for abstract parabolic equations, and some of their applications
For a class of semi-abstract evolution equations for sections on vector bundles on a three-dimensional compact manifold we prove that for initial values with certain symmetries strong solutions exist for all times. In case these solutions become small after some time, strong solutions exist also for small perturbations of these initial values. Many systems from fluid mechanics are included in this class.
Existence and uniqueness for the nonstationary problem of the electrical heating of a conductor due to the Joule-Thomson effect.
Existence and uniqueness for the three-dimensional thermoelasticity system in shape memory problems
A thermodynamically consistent model of shape memory alloys in three dimensions is studied. The thermoelasticity system, based on the strain tensor, its gradient and the absolute temperature, generalizes the well-known one-dimensional Falk model. Under simplifying structural assumptions we prove global in time existence and uniqueness of the solution.
Existence and uniqueness of classical solutions to certain nonlinear integro-differential Fokker-Planck type equations.