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  1. Nonlinear Differential Equations and Applications NoDEA
  2. Nonlinear Differential Equations and Applications NoDEA : Volume 17
  3. Nonlinear Differential Equations and Applications NoDEA : Volume 17, Issue 1, February 2010
  4. Radially symmetric growth of nonnecrotic tumors
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Nonlinear Differential Equations and Applications NoDEA : Volume 23
Nonlinear Differential Equations and Applications NoDEA : Volume 22
Nonlinear Differential Equations and Applications NoDEA : Volume 21
Nonlinear Differential Equations and Applications NoDEA : Volume 20
Nonlinear Differential Equations and Applications NoDEA : Volume 19
Nonlinear Differential Equations and Applications NoDEA : Volume 18
Nonlinear Differential Equations and Applications NoDEA : Volume 17
Nonlinear Differential Equations and Applications NoDEA : Volume 17, Issue 6, December 2010
Nonlinear Differential Equations and Applications NoDEA : Volume 17, Issue 5, October 2010
Nonlinear Differential Equations and Applications NoDEA : Volume 17, Issue 4, August 2010
Nonlinear Differential Equations and Applications NoDEA : Volume 17, Issue 3, June 2010
Nonlinear Differential Equations and Applications NoDEA : Volume 17, Issue 2, April 2010
Nonlinear Differential Equations and Applications NoDEA : Volume 17, Issue 1, February 2010
Radially symmetric growth of nonnecrotic tumors
Self-improving property of nonlinear higher order parabolic systems near the boundary
Multiplicity of solutions for a class of quasilinear elliptic equation involving the critical Sobolev and Hardy exponents
Renormalized solution for Stefan type problems: existence and uniqueness
The boundary integral method for the steady rotating Navier–Stokes equations in exterior domain (I): the existence of solution
A note on uniqueness of entropy solutions to degenerate parabolic equations in $${\mathbb{R}^N}$$
A class of Adams–Fontana type inequalities and related functionals on manifolds
Nonlinear Differential Equations and Applications NoDEA : Volume 16
Nonlinear Differential Equations and Applications NoDEA : Volume 15
Nonlinear Differential Equations and Applications NoDEA : Volume 14
Nonlinear Differential Equations and Applications NoDEA : Volume 13
Nonlinear Differential Equations and Applications NoDEA : Volume 12
Nonlinear Differential Equations and Applications NoDEA : Volume 11
Nonlinear Differential Equations and Applications NoDEA : Volume 10
Nonlinear Differential Equations and Applications NoDEA : Volume 9
Nonlinear Differential Equations and Applications NoDEA : Volume 8
Nonlinear Differential Equations and Applications NoDEA : Volume 7
Nonlinear Differential Equations and Applications NoDEA : Volume 6
Nonlinear Differential Equations and Applications NoDEA : Volume 5
Nonlinear Differential Equations and Applications NoDEA : Volume 4

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Radially symmetric growth of nonnecrotic tumors

Content Provider SpringerLink
Author Escher, Joachim Matioc, Anca Voichita
Copyright Year 2009
Abstract The growth of tumors is an important subject in recent research. We present here a mathematical model for the growth of nonnecrotic tumors in all the three regimes of vascularisation. This leads to a free-boundary problem which we treat by means ODE techniques. We prove the existence of a unique radially symmetric stationary solution. It is also shown that, if the initial tumor is radially symmetric, there exists a unique radially symmetric solution of the evolution equation, which exists for all times. The asymptotic behaviour of this solution will be discussed in relation to the parameters characterizing cell proliferation and cell death.
Ending Page 20
Page Count 20
Starting Page 1
File Format PDF
ISSN 10219722
e-ISSN 14209004
Journal Nonlinear Differential Equations and Applications NoDEA
Issue Number 1
Volume Number 17
Language English
Publisher SP Birkhäuser Verlag Basel
Publisher Date 2009-10-02
Publisher Place Basel
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Partial differential equations with discontinuous coefficients or data Stability Tumor growth Analysis Radial symmetry Free boundary problem
Content Type Text
Resource Type Article
Subject Applied Mathematics Analysis
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