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Carte Dual Variational Approach to Nonlinear Diffusion Equations Gabriela Marinoschi

Dual Variational Approach to Nonlinear Diffusion Equations

Autor: Gabriela Marinoschi
Limbă: engleză
Legare: Carte broșată
Editura: Springer, Berlin
Disponibilitate: În depozitul extern
Expediem în 5-8 zile
717.41 lei
This monograph explores a dual variational formulation of solutions to nonlinear diffusion equations...

Informații despre carte

Autor
Gabriela Marinoschi
Limbă
engleză
Legare
Carte - Carte broșată
Publicat
2024
Pagini
212
EAN
9783031245855
Enbook ID
45533611
Editura
Springer, Berlin
Greutate
359
Dimensiuni
155 x 235

Descriere completă

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 solutions when others may fail, such as in cases of evolution equations with nonautonomous operators, with low regular data, or with singular diffusion coefficients. By reducing it to a minimization problem, the original problem is transformed into an optimal control problem with a linear state equation. This procedure simplifies the proof of the existence of minimizers and, in particular, the determination of the first-order conditions of optimality. The dual variational formulation is illustrated in the text with specific diffusion equations that have general nonlinearities provided by potentials having various stronger or weaker properties. These equations can represent mathematical modelsto various real-world physical processes. Inverse problems and optimal control problems are also considered, as this technique is useful in their treatment as well.

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