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Könyv Dual Variational Approach to Nonlinear Diffusion Equations Gabriela Marinoschi

Dual Variational Approach to Nonlinear Diffusion Equations

Szerző: Gabriela Marinoschi
Nyelv: Angol
Kötés: Puha kötésű
Kiadó: Springer, Berlin
Elérhetőség: Beszállítói készleten
Küldés 5-8 napon belül
51 354 Ft
This monograph explores a dual variational formulation of solutions to nonlinear diffusion equations...

Információk a könyvről

Szerző
Gabriela Marinoschi
Nyelv
Angol
Kötés
Könyv - Puha kötésű
Kiadva
2024
oldal
212
EAN
9783031245855
Enbook ID
45533611
Kiadó
Springer, Berlin
Súly
359
Méretek
155 x 235

Teljes leírás

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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