Dual Variational Approach to Nonlinear Diffusion Equations

Name: Dual Variational Approach to Nonlinear Diffusion Equations
Brand: Springer Nature
SKU: 9783031245824
Availability: InStock

Dual Variational Approach to Nonlinear Diffusion Equations

Brand

Springer Nature

Manufacturer

N/A

Part Number

GTIN

9783031245824

Condition

New

0 Reviews

0 Questions | 0 Answers

Product Description

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.

Available Colors

N/A

Available Sizes

N/A

1 Offer Price Range: $109.00 - $109.00

BEST PRICE

Single Product Purchase

$109.00

@ Link.springer.com BUY Now

Price Comparison

Seller	Contact Seller	List Price	On Sale	Shipping	Best Promo	Final Price	Volume Discount	Financing	Availability	Seller's Page
BEST PRICE 1 Product Purchase @ Link.springer.com Rate Seller This functionality is for registered users only. Go to Login/Register		$109.00	$109.00			$109.00		See Site	In stock	Visit Store