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5 papers · 2 filters
Large time behavior for the heat equation on Carnot groups
Francesco Rossi
We first generalize a decomposition of functions on Carnot groups as linear combinations of the Dirac delta and some of its derivatives, where the weights are the moments of the fu…
Strongly anisotropic diffusion problems; asymptotic analysis
Mihai Bostan
The subject matter of this paper concerns anisotropic diffusion equations: we consider heat equations whose diffusion matrix have disparate eigenvalues. We determine first and seco…
Stability estimate in an inverse problem for non-autonomous Schrödinger equations
Michel Cristofol, Eric Soccorsi
We consider the inverse problem of determining the time dependent magnetic field of the Schrödinger equation in a bounded open subset of , with , from a finite numbe…
Stability result for a time dependent potential in a waveguide
Patricia Gaitan, Yavar Kian
We consider the operator in 2D or 3D waveguide. With an adapted global Carleman estimate with singular weight functions we give a stability result for the tim…
Convergence of the one-dimensional Cahn-Hilliard equation
Giovanni Bellettini, Lorenzo Bertini, Mauro Mariani +1
We consider the Cahn-Hilliard equation in one space dimension with scaling a small parameter εand a non-convex potential W. In the limit \espilon \to 0, under the assumption that t…