<IMG ALIGN=MIDDLE HEIGHT=28 WIDTH=20>-semigroups generated by second order differential operators with general Wentzell boundary conditions期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

按检索

-semigroups generated by second order differential operators with general Wentzell boundary conditions

Authors:	Angelo Favini Gisé le Ruiz Goldstein Jerome A Goldstein Silvia Romanelli

Institution:	Dipartimento di Matematica, Universita' di Bologna, Piazza di Porta S.Donato, 5 40127 Bologna, Italy ; CERI, University of Memphis, Memphis, Tennessee 38152 ; Department of Mathematical Sciences, University of Memphis, Memphis, Tennessee 38152 ; Dipartimento di Matematica, Universita' di Bari, via E.Orabona, 4 70125 Bari, Italy

Abstract:	Let us consider the operator $\widetilde {A}u(x)=\phi (x,u'(x))u'(x),$ where $\phi$ is positive and continuous in $(0,1)\times \mathbf{R}$ and $\widetilde {A}$ is equipped with the so-called generalized Wentzell boundary condition which is of the form $a\widetilde {A} u+bu'+cu=0$ at each boundary point, where $(a,b,c)\neq (0,0,0).$ This class of boundary conditions strictly includes Dirichlet, Neumann and Robin conditions. Under suitable assumptions on $\phi$ , we prove that $\widetilde {A}$ generates a positive $C_{0}$ -semigroup on and, hence, many previous (linear or nonlinear) results are extended substantially.

Keywords:	$C_{0}$-semigroups on $C[0 1]$ nonlinear second order differential operators generalized Wentzell boundary condition

	点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息
	点击此处可从《Proceedings of the American Mathematical Society》下载免费的PDF全文