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Dual Variational Approach to Nonlinear Diffusion Equations

This monograph explores a dual variational formulation of solutions to nonlinear diffusion equations with general nonlinearities as null minimizers of appropriate energy functionals. The author demonstrates how this method can be utilized as a convenient tool for proving the existence of these solut...

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Sábháilte in:
Sonraí bibleagrafaíochta
Príomhchruthaitheoir: Marinoschi, Gabriela (Údar)
Údar corparáideach: SpringerLink (Online service)
Formáid: Leictreonach Ríomhleabhar
Teanga:Béarla
Foilsithe / Cruthaithe: Cham : Springer Nature Switzerland : Imprint: Birkhäuser, 2023.
Eagrán:1st ed. 2023.
Sraith:PNLDE Subseries in Control, 102
Ábhair:
Differential equations.
System theory.
Control theory.
Operator theory.
Mathematical optimization.
Calculus of variations.
Differential Equations.
Systems Theory, Control.
Operator Theory.
Calculus of Variations and Optimization.
Rochtain ar líne:https://doi.org/10.1007/978-3-031-24583-1
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Clár na nÁbhar:
  • 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.

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