Smoothing and Decay Estimates for Nonlinear Diffusion Equations 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Vazquez, Juan Luis 作者

Oxford Univ Pr

譯者

2006-10 出版日期

248 頁數

$ 107.35 價格

HRD

叢書系列

9780199202973 圖書編碼

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發表於2024-11-26

Smoothing and Decay Estimates for Nonlinear Diffusion Equations 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

Smoothing and Decay Estimates for Nonlinear Diffusion Equations 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

Smoothing and Decay Estimates for Nonlinear Diffusion Equations 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Smoothing and Decay Estimates for Nonlinear Diffusion Equations 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

Smoothing and Decay Estimates for Nonlinear Diffusion Equations 在線電子書圖書描述

This text is concerned with the quantitative aspects of the theory of nonlinear diffusion equations; equations which can be seen as nonlinear variations of the classical heat equation. They appear as mathematical models in different branches of Physics, Chemistry, Biology, and Engineering, and are also relevant in differential geometry and relativistic physics. Much of the modern theory of such equations is based on estimates and functional analysis. Concentrating on a class of equations with nonlinearities of power type that lead to degenerate or singular parabolicity ("equations of porous medium type"), the aim of this text is to obtain sharp a priori estimates and decay rates for general classes of solutions in terms of estimates of particular problems. These estimates are the building blocks in understanding the qualitative theory, and the decay rates pave the way to the fine study of asymptotics. Many technically relevant questions are presented and analyzed in detail. A systematic picture of the most relevant phenomena is obtained for the equations under study, including time decay, smoothing, extinction in finite time, and delayed regularity.

Smoothing and Decay Estimates for Nonlinear Diffusion Equations 在線電子書下載 mobi epub pdf txt 在線電子書下載

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