Dual Variational Approach to Nonlinear Diffusion Equations

AvGabriela Marinoschi

Häftad, Engelska, 2024

Del 102 i serien Progress in Nonlinear Differential Equations and Their Applications

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Beskrivning

This monograph explores a dual variational formulation of solutions to nonlinear diffusion equations with general nonlinearities as null minimizers of appropriate energy functionals. By reducing it to a minimization problem, the original problem is transformed into an optimal control problem with a linear state equation.

Produktinformation

Utgivningsdatum:2024-03-30
Mått:155 x 235 x 13 mm
Vikt:359 g
Format:Häftad
Språk:Engelska
Serie:Progress in Nonlinear Differential Equations and Their Applications
Antal sidor:212
Förlag:Birkhauser Verlag AG
ISBN:9783031245855

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Mer om författaren

Gabriela Marinoschi is a senior scientific researcher with Gheorghe Mihoc-Caius Iacob Institute of Mathematical Statistics and Applied Mathematics of the Romanian Academy and full member of the Romanian Academy. Her research interests focus on the analysis and control of evolution equations in infinite dimensional spaces and include the application of variational and semigroup methods as well as the control techniques to mathematical models based on partial differential equations, especially for those describing physical and biological processes.

Innehållsförteckning

Introduction.- Nonlinear Diffusion Equations with Slow and Fast Diffusion.- Weakly Coercive Nonlinear Diffusion Equations.- Nonlinear Diffusion Equations with a Noncoercive Potential.- Nonlinear Parabolic Equations in Divergence Form with Wentzell Boundary Conditions.- A Nonlinear Control Problem in Image Denoising.- An Optimal Control Problem for a Phase Transition Model.- Appendix.- Bibliography.- Index.