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Abstract: The main result of the present paper is a statement on existence, uniqueness and regularity for mild solutions to a parabolic transport diffusion type equation that involves a non-smooth coe...
Abstract: Uniqueness results are established for time-independent finite-energy electromagnetic fields which solve the nonlinear Maxwell--Born--Infeld equations in boundary-free space under the condit...
Abstract: Existence and uniqueness of radially symmetric self-similar very singular solutions are proved for the singular diffusion equation with gradient absorption {equation*} \partial_t u -\Delta_{...
Abstract: We prove that radial, monotonic, superexponentially decaying potentials in R^n, n greater than or equal to 1 odd, are determined by the resonances of the associated semiclassical Schrodinger...
In this paper I study the constant mean curvature surface in asymp-totically flat 3-manifolds with general asymptotics. Under some weak condition, I prove that outside some compact set in the asymptot...
Suppose qi(x), i = 1; 2 are smooth functions on R3 and Ui(x; t) the solutions of the initial value problem @2 t Ui 􀀀 Ui 􀀀 qi(x)Ui = (x; t); (x; t) 2 R3  R Ui(x; t) = 0; for t < 0...
Let be an open subset of Rd with 0 ∈ . Further let H = −Pd i,j=1 @i cij @j be a second-order partial differential operator with domain C∞ c ( ) where the coefficients cij ∈ W1,∞ loc ( ) are re...

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