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Weak Maximum Principle for Strongly Coupled Elliptic Differential Systems
Weak maximum principle strongly coupled elliptic system weak solution
2010/12/10
A classical counterexample due to E. De Giorgi, shows that the weak maximum principle
does not remain true for general linear elliptic differential systems. After that, there are some efforts to esta...
Global Existence and Nonexistence for a Strongly Coupled Parabolic System with Nonlinear Boundary Conditions
Strongly coupled Global existence Finite time blow-up Upper and lower solutions
2007/12/10
This paper deals with the strongly coupled parabolic system $u_{t}=v^{m}{\Delta}u,v_{t}=u^{n}{\Delta}v,\ (x,t)$ $\in {\Omega}\times (0,T)$ subject to nonlinear boundary conditions ${\partial}u/{\parti...