Titlebook: Dual Variational Approach to Nonlinear Diffusion Equations; Gabriela Marinoschi Book 2023 The Editor(s) (if applicable) and The Author(s),

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果核

Nonlinear Diffusion Equations with Slow and Fast Diffusion,n characterized by a singular diffusion coefficient .(., ., .) which blows-up at a finite value . of the solution .. More exactly, this has a growth with the exponent .???2 for .?∈?(1, 2) corresponding to a fast diffusion. The minimization problem with a constraint is introduced for this case in a m

弄皺

Dual Variational Approach to Nonlinear Diffusion Equations

FRET

Thymus

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Nonlinear Diffusion Equations with Slow and Fast Diffusion,ing a variational principle, in the case when .(., ., ?) is provided by a continuous potential .(., ., ?) having a polynomial growth. The technique used to prove the existence consists in reducing the nonlinear problem to a convex optimization problem via the Legendre-Fenchel relations. A functional

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Weakly Coercive Nonlinear Diffusion Equations, considered in Chap. ., more precisely with a monotonically increasing time and space depending nonlinearity .(., ., ?) provided by a potential .(., ., ?) having a weak coercivity property. This hypothesis may apply to .(., ., .) of polynomial type with respect to ., with the exponent .?∈?(1, 2) cha

魅力

傳染

親屬

An Optimal Control Problem for a Phase Transition Model,cussed in this chapter is to force a sharp interface separation between the states of the system by means of a distributed heat source and a boundary heat source as controls, while keeping its temperature at a certain average level. This is an optimal control problem with state and control restricti