
Asymptotic Behaviors of Solutions to Onedimensional Tumor Invasion ModelAsymptotic Behaviors of Solutions to Onedimensional Tumor Invasion ModelAA11021653 
"/Ito, Akio/"Ito, Akio
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20150331 , Graduate School of Mathematical Sciences, The University of Tokyo , Faculty of Engineering, Kinki University
ISSN:13405705
NCID:AA11021653
Description
We consider a onedimensional tumor invasion model of Chaplain–Anderson type with quasivariational structure, which is originally proposed in [3]. One object is to show the existence of globalin time solutions by using the limit procedure for suitable approximate solutions. The other is to consider the asymptotic behaviors of globalin time solutions as time goes to ∞. Actually, we construct at least one globalintime solution, which enables us to consider the convergence to a certain constant steadystate solution as time goes to ∞ whenever the initial data satisfy suitable conditions.
FullText
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