Open AccessStability of Solutions to a Free Boundary Problem for Tumor Growth
Author(s) -
Shihe Xu
Publication year - 2014
Publication title -
international journal of differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 20
eISSN - 1687-9651
pISSN - 1687-9643
DOI - 10.1155/2014/427547
Subject(s) - mathematics , boundary (topology) , stability (learning theory) , exponential stability , free boundary problem , stationary solution , mathematical analysis , boundary value problem , nonlinear system , physics , computer science , quantum mechanics , machine learning
We study the asymptotic behaviour of quasi-stationary solutions of a free boundaryproblem which had been discussed by Bueno (2005). Using a simpler method we prove that the quasi-steady solutions of the problem converge uniformly to the unique nontrivial steady solution
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom