Global existence of classical solutions for a haptotaxis model

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autoren

  • Christoph Walker
  • Glenn F. Webb

Externe Organisationen

  • Vanderbilt University
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Seiten (von - bis)1694-1713
Seitenumfang20
FachzeitschriftSIAM Journal on Mathematical Analysis
Jahrgang38
Ausgabenummer5
PublikationsstatusVeröffentlicht - 2006
Extern publiziertJa

Abstract

A system of nonlinear partial differential equations modeling haptotaxis is investigated. The model arises in cell migration processes involved in tumor invasion. The existence of unique global classical solutions is proved.

ASJC Scopus Sachgebiete

Zitieren

Global existence of classical solutions for a haptotaxis model. / Walker, Christoph; Webb, Glenn F.
in: SIAM Journal on Mathematical Analysis, Jahrgang 38, Nr. 5, 2006, S. 1694-1713.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Walker C, Webb GF. Global existence of classical solutions for a haptotaxis model. SIAM Journal on Mathematical Analysis. 2006;38(5):1694-1713. doi: 10.1137/060655122
Walker, Christoph ; Webb, Glenn F. / Global existence of classical solutions for a haptotaxis model. in: SIAM Journal on Mathematical Analysis. 2006 ; Jahrgang 38, Nr. 5. S. 1694-1713.
Download
@article{7a12ffb1f9974d7691c23b2787c178ad,
title = "Global existence of classical solutions for a haptotaxis model",
abstract = "A system of nonlinear partial differential equations modeling haptotaxis is investigated. The model arises in cell migration processes involved in tumor invasion. The existence of unique global classical solutions is proved.",
keywords = "Classical solutions, Diffusion, Global existence, Haptotaxis, Uniqueness",
author = "Christoph Walker and Webb, {Glenn F.}",
note = "Copyright: Copyright 2008 Elsevier B.V., All rights reserved.",
year = "2006",
doi = "10.1137/060655122",
language = "English",
volume = "38",
pages = "1694--1713",
journal = "SIAM Journal on Mathematical Analysis",
issn = "0036-1410",
publisher = "Society for Industrial and Applied Mathematics Publications",
number = "5",

}

Download

TY - JOUR

T1 - Global existence of classical solutions for a haptotaxis model

AU - Walker, Christoph

AU - Webb, Glenn F.

N1 - Copyright: Copyright 2008 Elsevier B.V., All rights reserved.

PY - 2006

Y1 - 2006

N2 - A system of nonlinear partial differential equations modeling haptotaxis is investigated. The model arises in cell migration processes involved in tumor invasion. The existence of unique global classical solutions is proved.

AB - A system of nonlinear partial differential equations modeling haptotaxis is investigated. The model arises in cell migration processes involved in tumor invasion. The existence of unique global classical solutions is proved.

KW - Classical solutions

KW - Diffusion

KW - Global existence

KW - Haptotaxis

KW - Uniqueness

UR - http://www.scopus.com/inward/record.url?scp=34548693955&partnerID=8YFLogxK

U2 - 10.1137/060655122

DO - 10.1137/060655122

M3 - Article

AN - SCOPUS:34548693955

VL - 38

SP - 1694

EP - 1713

JO - SIAM Journal on Mathematical Analysis

JF - SIAM Journal on Mathematical Analysis

SN - 0036-1410

IS - 5

ER -