@inbook{e4c61c7b0b2b4ac5a021cb342d19ae65,

title = "Continuation of the solution to the Chemotaxis Problem Beyond its Blow-up",

abstract = "In this paper we deal with classical solutions to the chemotaxis problem and characterize cases of blow-up. Next, we define continuation of the classical solutions beyond blow-up time To. This definition is in fact nontrivial because, although allowing finite mass to concentrate in the origin after To (without prescribing its amount as a function of time), it identifies the solution uniquely. Moreover, two ways of regularizing the problem are provided: they look quite natural and they are shown to converge to the solution.",

author = "Mario Primicerio and Boris Zaltzman",

year = "2003",

language = "???core.languages.en_GB???",

volume = "147",

series = "International Series of Numerical Mathematics",

publisher = "Birkhauser Verlag Basel",

pages = "255--264",

editor = "Augusto Visintin and Claudio Verdi and Pierluigi Colli",

booktitle = "Free Boundary Problems",

address = "Switzerland",

}