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Classes of reaction diffusion equati...

Goddard, Jerome, II.

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Classes of reaction diffusion equations with nonlinear boundary conditions.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Classes of reaction diffusion equations with nonlinear boundary conditions./
Author:	Goddard, Jerome, II.
Description:	110 p.
Notes:	Source: Dissertation Abstracts International, Volume: 72-11, Section: B, page: .
Contained By:	Dissertation Abstracts International72-11B.
Subject:	Applied Mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3466562
ISBN:	9781124800240

Classes of reaction diffusion equations with nonlinear boundary conditions.
Goddard, Jerome, II.

Classes of reaction diffusion equations with nonlinear boundary conditions. - 110 p.

Source: Dissertation Abstracts International, Volume: 72-11, Section: B, page: .

Thesis (Ph.D.)--Mississippi State University, 2011.

We study positive solutions to classes of steady state reaction diffusion equations that arise naturally in applications. In particular, we study models arising from population dynamics and combustion theory.

ISBN: 9781124800240Subjects--Topical Terms:

1669109
Applied Mathematics.

Classes of reaction diffusion equations with nonlinear boundary conditions.
LDR:01847nam 2200349 4500 001 1405917
005 20111214135804.5
008 130515s2011 ||||||||||||||||| ||eng d
020 $a 9781124800240
035 $a (UMI)AAI3466562
035 $a AAI3466562
040 $a UMI $c UMI
100 1 $a Goddard, Jerome, II. $3 1685340
245 1 0 $a Classes of reaction diffusion equations with nonlinear boundary conditions.
300 $a 110 p.
500 $a Source: Dissertation Abstracts International, Volume: 72-11, Section: B, page: .
500 $a Adviser: Ratnasingham Shivaji.
502 $a Thesis (Ph.D.)--Mississippi State University, 2011.
520 $a We study positive solutions to classes of steady state reaction diffusion equations that arise naturally in applications. In particular, we study models arising from population dynamics and combustion theory.
520 $a The main focus of this dissertation is the mathematical analysis of a challenging new class of problems when a certain nonlinear boundary condition is satisfied. In particular, we establish existence and multiplicity results by making use of the Quadrature method, the method of sub-super solutions, and degree theory. The results in this dissertation provide a significant contribution towards the analysis of elliptic boundary value problems with nonlinear boundary conditions.
590 $a School code: 0132.
650 4 $a Applied Mathematics. $3 1669109
650 4 $a Mathematics. $3 515831
690 $a 0364
690 $a 0405
710 2 $a Mississippi State University. $b Mathematics and Statistics. $3 1682213
773 0 $t Dissertation Abstracts International $g 72-11B.
790 1 0 $a Shivaji, Ratnasingham, $e advisor
790 1 0 $a Razzaghi, Mohsen $e committee member
790 1 0 $a Miller, Len $e committee member
790 1 0 $a Neumann, Michael $e committee member
790 1 0 $a Lim, Hyeona $e committee member
790 1 0 $a Johnson, Corlis $e committee member
790 $a 0132
791 $a Ph.D.
792 $a 2011
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3466562