A Property of Measures in Rn and an Application to Unique Continuation.
A qualitative study on a parabolic free boundary problem.
A quasi-boundary value method for regularizing nonlinear ill-posed problems.
A quasi-variational inequality problem arising in the modeling of growing sandpiles
Existence of a solution to the quasi-variational inequality problem arising in a model for sand surface evolution has been an open problem for a long time. Another long-standing open problem concerns determining the dual variable, the flux of sand pouring down the evolving sand surface, which is also of practical interest in a variety of applications of this model. Previously, these problems were solved for the special case in which the inequality is simply variational. Here, we introduce a regularized...
A refinement of the Poincaré inequality for Kolmogorov operators on .
A Riemann problem with small viscosity and dispersion.
A Riemann–Hilbert problem and the Bernoulli boundary condition in the variational theory of Stokes waves
A rigorous derivation of free-boundary problem arising in superconductivity
A semidiscretization scheme for a phase-field type model for solidification.
A semilinear equation in
A semilinear transport equation with delays.
A singular equation with positive and free boundary solutions.
Para 0 < β < 1 consideramos la ecuación -Δu = χ{u > 0} (-u-β + λf(x, u)) en Ω con condición de borde tipo Dirichlet. Esta ecuación posee una solución maximal uλ ≥ 0 para todo λ > 0. Si λ es menor que una cierta constante λ*, uλ se anula en el interior del dominio creando una frontera libre, y para λ > λ* esta solución es positiva en Ω y estable. Establecemos la regularidad de uλ incluso en presencia de una frontera libre. Para λ ≥ λ* la solución del problema...
A singular parabolic Anderson model.
A stability estimate for a solution in the inverse problem of finding the coefficients of lower derivatives.
A stability estimate for a solution of the problem of determining the dielectric permittivity.
A stability estimate for a solution to a three-dimensional inverse problem for the Maxwell equations.
A stability estimate for a solution to a two-dimensional inverse problem of electrodynamics.
A stability estimate for a solution to the problem of determination of two coefficients of a hyperbolic equation.
A stability result for parameter identification problems in nonlinear parabolic problems.
A stability result in the localization of cavities in a thermic conducting medium
We prove a logarithmic stability estimate for a parabolic inverse problem concerning the localization of unknown cavities in a thermic conducting medium in , , from a single pair of boundary measurements of temperature and thermal flux.