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Degenerate nonlinear parabolic bound...

Lin, Chin-Yuan.

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Degenerate nonlinear parabolic boundary value problems.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Degenerate nonlinear parabolic boundary value problems./
Author:	Lin, Chin-Yuan.
Description:	71 p.
Notes:	Chairman: J. A. Goldstein.
Contained By:	Dissertation Abstracts International49-05B.
Subject:	Mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=8811314

Degenerate nonlinear parabolic boundary value problems.
Lin, Chin-Yuan.

Degenerate nonlinear parabolic boundary value problems. - 71 p.

Chairman: J. A. Goldstein.

Thesis (Ph.D.)--Tulane University, 1987.

Global existence and uniqueness results are established for mixed initial-boundary value problems for degenerate nonlinear parabolic equations of the type ${\partial {\rm u}}\over{\partial {\rm t}}$ = $\phi$(x,$\nabla)$\DeltaSubjects--Topical Terms:

515831
Mathematics.

Degenerate nonlinear parabolic boundary value problems.
LDR:01836nam 2200253 a 45 001 939852
005 20110517
008 110517s1987 ||||||||||||||||| ||eng d
035 $a (UMI)AAI8811314
035 $a AAI8811314
040 $a UMI $c UMI
100 1 $a Lin, Chin-Yuan. $3 1263964
245 1 0 $a Degenerate nonlinear parabolic boundary value problems.
300 $a 71 p.
500 $a Chairman: J. A. Goldstein.
500 $a Source: Dissertation Abstracts International, Volume: 49-05, Section: B, page: 1752.
502 $a Thesis (Ph.D.)--Tulane University, 1987.
520 $a Global existence and uniqueness results are established for mixed initial-boundary value problems for degenerate nonlinear parabolic equations of the type ${\partial {\rm u}}\over{\partial {\rm t}}$ = $\phi$(x,$\nabla $u )$\Delta $u + f(x,u,$\nabla $u ) where u = u(x,t) is real-valued, x is in a smooth bounded domain $\Omega$ in $\IR\sp{\rm n}$, and t $\geq$ 0. By "degenerate" we mean that $\phi$(x,$\xi)$ $>$ 0 for x $\epsilon\Omega$ and $\xi\ \epsilon\ \IR\sp{\rm n}$ but possibly $\phi$(x,$\xi)$ = 0 for x $\epsilon\ \partial\ \Omega$. We also consider a variety of boundary conditions, which can be either linear (e.g. Dirichlet, Neumann, Robin or periodic) or nonlinear, in which case it takes the form $-{\partial{\rm u}\over\partial{\rm n}}$ $\epsilon$ $\beta$(u(x,t)) for x $\epsilon\ \partial\Omega$, t $\geq$ 0. Here $\nu$ is the unit outer normal to $\partial\Omega$ at x and $\beta$ is a maximal monotone graph in $\IR$ x $\IR$ containing (0,0). In particular, both the equation and the boundary condition can be nonlinear.
590 $a School code: 0235.
650 4 $a Mathematics. $3 515831
690 $a 0405
710 2 $a Tulane University. $3 1019475
773 0 $t Dissertation Abstracts International $g 49-05B.
790 $a 0235
790 1 0 $a Goldstein, J. A., $e advisor
791 $a Ph.D.
792 $a 1987
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=8811314