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Book 2004tion (ADE) Ut = A(u) (2) has a well-known asymptotic behaviour, and we want to prove that for large times the orbits of the original evolution problem converge to a certain class of limits of the autonomous equation. More precisely, we want to prove that the orbits of (NDE) are attracted by a certai

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Victor A. Galaktionov,Juan Luis VázquezIntroduces a state-of-the-art method for the study of the asymptotic behavior of solutions to evolution partial differential equations.Written by established mathematicians at the forefront of their f

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Angle and Spin Resolved Auger Emissionsubsequent chapters. Some of the material informs about the general philosophy of these equations, a second part develops standard subjects of this theory that allow the reader to compare the standard methods with the ones based on the S-Theorem. In particular, we use the example of the porous mediu

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https://doi.org/10.1007/978-3-540-74630-0ting diffusion, the other one absorption. We show that there exists a special critical relation of the exponents where these two operators generate a nontrivial nonlinear interaction which gives rise to an unusual asymptotic behaviour, more complex than the one corresponding to noncritical exponents
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查看完整版本: Titlebook: A Stability Technique for Evolution Partial Differential Equations; A Dynamical Systems Victor A. Galaktionov,Juan Luis Vázquez Book 2004