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.