Nonexistence of Solution for Higher Order Evolution Equations and Inequalities
Assa, Hirbod ; Hesaaraki, Mahmoud
Methods Appl. Anal., Tome 12 (2005) no. 1, p. 1-18 / Harvested from Project Euclid
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Many authors have established results for existence and nonexistence of nonlinear evolution P.D.Es in the form $\f{\partial^k u}{\partial t^k}-\delta_1\triangle u+\delta_2\Delta^2 u=f(x,\nabla u,u)$ where $\delta_1,\delta_2\in \{0,1\}$. In this paper we will prove the nonexistence results for the general form that contains this forms for $f(x,\nabla u,u)=|x|^{-\gamma}|u|^q$ or $|u|^q$ or $|\nabla u^q|^p$.
Publié le : 2005-03-14
Classification:  
@article{1149624203,
     author = {Assa, Hirbod and Hesaaraki, Mahmoud},
     title = {Nonexistence of Solution for Higher Order Evolution Equations and
 Inequalities},
     journal = {Methods Appl. Anal.},
     volume = {12},
     number = {1},
     year = {2005},
     pages = { 1-18},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1149624203}
}

Assa, Hirbod; Hesaaraki, Mahmoud. Nonexistence of Solution for Higher Order Evolution Equations and
 Inequalities. Methods Appl. Anal., Tome 12 (2005) no. 1, pp.  1-18. http://gdmltest.u-ga.fr/item/1149624203/