This paper deals with the existence and nonexistence of global positive solutions of the doubly nonlinear parabolic equation with nonlinear boundary conditions. Necessary and sufficient conditions in order that all positive solutions exist globally are obtained by using the upper and lower solutions
Doubly nonlinear equations with unbounded operators
β Scribed by Sergiu Aizicovici; Veli-Matti Hokkanen
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 295 KB
- Volume
- 58
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
β¦ Synopsis
The solvability of the evolution system v (t) + B(t)u(t) f(t); v(t) β A(t)u(t), 0 Β‘ t Β‘ T , with the initial condition v(0) = v0 will be investigated in the case where A(t) are bounded, possibly degenerate, subdi erentials and B(t) are unbounded subdi erentials.
π SIMILAR VOLUMES
In this paper we consider a doubly nonlinear Volterra equation related to the p-Laplacian with a nonsmooth kernel. By exploiting a suitable implicit time-discretization technique we obtain the existence of global strong solution. Copyright
The purpose of this paper is to prove the existence of a solution for a nonlinear parabolic equation in the form u/ -div(a(t , z , u,Duj) = Htt, x , u , Du)div(g(t.:r.Β» in QT =]0,T[xn, n c RN, with an initial condition u(O) = uo, where Un is not bounded, IH(t,x,u,() 1 ~.BI(!P + j(t,x) + ,BeAlI"I,j,)
We consider a two-player, zero-sum differential game governed by an abstract nonlinear differential equation of accretive type in an infinite-dimensional space. We prove that the value function of the game is the unique viscosity solution of the corresponding HamiltonαJacobiαIsaacs equation in the s