Global solutions to a class fo strongly coupled parabolic systems.
Growth and accretion of mass in an astrophysical model
We study asymptotic behavior of radial solutions of a nonlocal Fokker-Planck equation describing the evolution of self-attracting particles. In particular, we consider stationary solutions in balls and in the whole space, self-similar solutions defined globally in time, blowing up self-similar solutions, and singularities of solutions that blow up in a finite time.
Growth and accretion of mass in an astrophysical model, II
Radially symmetric solutions of a nonlocal Fokker-Planck equation describing the evolution of self-attracting particles in a bounded container are studied. Conditions ensuring either global-in-time existence of solutions or their finite time blow up are given.
Heat flow and boundary value problem for harmonic maps
Heteroclinic connections of stationary solutions of scalar reaction-diffusion equations
High regularity of the solution of a nonlinear parabolic boundary-value problem.
Highly degenerate quasilinear parabolic systems
Homogenization of ferromagnetic multilayers in the presence of surface energies
We study the homogenization process of ferromagnetic multilayers in the presence of surface energies: super-exchange, also called interlayer exchange coupling, and surface anisotropy. The two main difficulties are the non-linearity of the Landau-Lifshitz equation and the absence of a good sequence of extension operators for the multilayer geometry. First, we consider the case when surface anisotropy is the dominant term, then the case when the magnitude of the super-exchange interaction is...
Homogenization of semilinear PDEs with discontinuous averaged coefficients.
Hysteresis filtering in the space of bounded measurable functions
We define a mapping which with each function and an admissible value of associates the function with a prescribed initial condition which minimizes the total variation in the -neighborhood of in each subinterval of . We show that this mapping is non-expansive with respect to , and , and coincides with the so-called play operator if is a regulated function.
Identification of a hydrogen transfer model with dynamical boundary conditions.
Il problema di Stefan con condizioni al contorno non lineari
Imbedding vector fields in scalar parabolic Dirichlet
Impulsive nonlocal nonlinear parabolic differential problems.
Interface dynamics for an anisotropic Allen-Cahn equation
Invariant Rectangles and Strongly Coupled Semilinear Parabolic.
Inverse problem for a nonlinear Helmholtz equation
-estimate for qualitatively bounded weak solutions of nonlinear degenerate diagonal parabolic systems.
-estimate for solutions of nonlinear parabolic systems
We prove existence of weak solutions to nonlinear parabolic systems with p-Laplacians terms in the principal part. Next, in the case of diagonal systems an -estimate for weak solutions is shown under additional restrictive growth conditions. Finally, -estimates for weakly nondiagonal systems (where nondiagonal elements are absorbed by diagonal ones) are proved. The -estimates are obtained by the Di Benedetto methods.
-estimates for nonlinear parabolic equations with natural growth conditions