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Global and exponential attractors for a Caginalp type phase-field problem
We deal with a generalization of the Caginalp phase-field model associated with Neumann boundary conditions. We prove that the problem is well posed,...
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Uniqueness results for the Minkowski problem extended to hedgehogs
The classical Minkowski problem has a natural extension to hedgehogs, that is to Minkowski differences of closed convex hypersurfaces. This extended...
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Well-posedness of the Cauchy problem for nonlinear parabolic equations with variable density in the hyperbolic space
We investigate the well-posedness of the Cauchy problem for a class of nonlinear parabolic equations with variable density in the hyperbolic space....
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Uniqueness of vortexless Ginzburg-Landau type minimizers in two dimensions
In a simply connected two dimensional domain Ω, we consider Ginzburg-Landau minimizers u with zero degree Dirichlet boundary condition
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Vector potential formulation of a quasi-static EM induction problem: existence, uniqueness and stability of the weak solution
We deal with the electromagnetic induction in a conductor with 3D distribution of electric conductivity in quasi-static approximation with the focus...
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On a generalized Stokes problem
We deal with a generalization of the Stokes system. Instead of the Laplace operator, we consider a general elliptic operator and a pressure gradient...
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Viscous System of Conservation Laws: Singular Limits
We continue our analysis of the Cauchy problem for viscous system of conservation, under natural assumptions. We examine in which way does the...
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A nonhomogeneous boundary value problem in mass transfer theory
We prove a uniqueness result of solutions for a system of PDEs of Monge–Kantorovich type arising in problems of mass transfer theory. The results are...
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Some new nonlinear Gronwall-Bellman-Type integral inequalities and applications to BVPs
In this paper we establish some new nonlinear Gronwall-Bellman-Type integral inequalities with two variables, which include a non-constant term...
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Short time uniqueness results for solutions of nonlocal and non-monotone geometric equations
We describe a method to show short time uniqueness results for viscosity solutions of general nonlocal and non-monotone second-order geometric...
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Hawking’s Local Rigidity Theorem Without Analyticity
We prove the existence of a Hawking Killing vector-field in a full neighborhood of a local, regular, bifurcate, non-expanding horizon embedded in a...
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About the solution of the even parity formulation of the transient radiative heat transfer equations
This paper studies the existence and uniqueness questions, in classical spaces, for a certain system of differential equations. From the physical...