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Titlebook: Nonlinear Diffusion Equations and Their Equilibrium States II; Proceedings of a Mic W.-M. Ni,L. A. Peletier,James Serrin Conference proceed

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樓主: 遮陽傘
21#
發(fā)表于 2025-3-25 05:53:13 | 只看該作者
Diffusion-Reaction Systems in Neutron-Fission Reactors and Ecology,stions concerning the existence and stability of positive solutions remain unanswered. For example, the existence of nontrivial positive steady state solutions in the temperature dependent case (non-prompt feedback) in Section 2 is unknown.
22#
發(fā)表于 2025-3-25 10:23:11 | 只看該作者
23#
發(fā)表于 2025-3-25 15:24:21 | 只看該作者
Asymptotic behavior of solutions of semilinear heat equations on ,,,t any ..-bounded solution approaches either a single periodic solution or a set of equilibria as . → ∞. We also consider the case where the solution blows up in a finite time and prove that under certain conditions on . the blow-up set of any solution with nonconstant initial data is a finite set.
24#
發(fā)表于 2025-3-25 17:11:19 | 只看該作者
25#
發(fā)表于 2025-3-25 21:52:11 | 只看該作者
26#
發(fā)表于 2025-3-26 00:45:28 | 只看該作者
Resonance and Higher Order Quasilinear Ellipticity, = the number of all derivatives ... for 0 ≤ |.| ≤ m-1, . will stand for the .-vector whose components are the derivatives ... for 0 ≤ |.| ≤ m - 1. Thus if . = 1, then . and . = 1. If . = 2, . = (., ...,...,...) and . = . + 1. Also, we shall let . stand for a point in ?.. Thus for . = 2, . = (.., ..
27#
發(fā)表于 2025-3-26 08:14:27 | 只看該作者
28#
發(fā)表于 2025-3-26 09:38:51 | 只看該作者
The Mathematics of Porous Medium Combustion,ution, the form of the reaction rate, which is discontinuous as a function of the dependent variable, precludes bifurcation of non-trivial steady solutions from the branch of trivial solutions. A constructive approach to the existence theory for non-trivial global solution branches is developed. The
29#
發(fā)表于 2025-3-26 14:51:39 | 只看該作者
30#
發(fā)表于 2025-3-26 19:52:43 | 只看該作者
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