Displaying similar documents to “On an initial inverse problem in nonlinear heat equation associated with time-dependent coefficient”

Magnetic vortices for a Ginzburg-Landau type energy with discontinuous constraint

Ayman Kachmar (2010)

ESAIM: Control, Optimisation and Calculus of Variations

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This paper is devoted to an analysis of vortex-nucleation for a Ginzburg-Landau functional with discontinuous constraint. This functional has been proposed as a model for vortex-pinning, and usually accounts for the energy resulting from the interface of two superconductors. The critical applied magnetic field for vortex nucleation is estimated in the London singular limit, and as a by-product, results concerning vortex-pinning and boundary conditions on the interface are obtained. ...

Implications between approximate convexity properties and approximate Hermite-Hadamard inequalities

Judit Makó, Zsolt Páles (2012)

Open Mathematics

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The connection between the functional inequalities f x + y 2 ⩽ f x + f y 2 + α J x - y , x , y ∈ D , and ∫ 0 1 f t x + 1 - t y ρ t d t ⩽ λ f x + 1 - λ f y + α H x - y , x , y ∈ D , is investigated, where D is a convex subset of a linear space, f: D → ℝ, α H;α J: D-D → ℝ are even functions, λ ∈ [0; 1], and ρ: [0; 1] →ℝ+ is an integrable nonnegative function with ∫01 ρ(t) dt = 1.