Global unbounded solutions of the Fujita equation in the intermediate range

Peter Poláčik; Eiji Yanagida

doi:10.1007/s00208-014-1038-2

Global unbounded solutions of the Fujita equation in the intermediate range

Peter Poláčik, Eiji Yanagida

Mathematics

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

We consider the Fujita equation (formula presented). We prove the existence of global, unbounded solutions for (formula presented), where (formula presented)and (formula presented) Previously, it was known that global, unbounded solutions exist for (formula presented), whereas for (formula presented) there are no such solutions.

Original language	English (US)
Pages (from-to)	255-266
Number of pages	12
Journal	Mathematische Annalen
DOIs	https://doi.org/10.1007/s00208-014-1038-2
State	Published - 2014

Bibliographical note

Funding Information:
This research was carried out during a visit of P. Poláčik to the Tokyo Institute of Technology. P. Poláčik was upported in part by NSF Grant DMS–1161923. Eiji Yanagida was upported in part by JSPS Grant-in-Aid for Scientific Research (A) (No. 24244012).

Publisher Copyright:
© 2014, Springer-Verlag Berlin Heidelberg.

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abstract = "We consider the Fujita equation (formula presented). We prove the existence of global, unbounded solutions for (formula presented), where (formula presented)and (formula presented) Previously, it was known that global, unbounded solutions exist for (formula presented), whereas for (formula presented) there are no such solutions.",

author = "Peter Pol{\'a}{\v c}ik and Eiji Yanagida",

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AU - Yanagida, Eiji

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Y1 - 2014

N2 - We consider the Fujita equation (formula presented). We prove the existence of global, unbounded solutions for (formula presented), where (formula presented)and (formula presented) Previously, it was known that global, unbounded solutions exist for (formula presented), whereas for (formula presented) there are no such solutions.

AB - We consider the Fujita equation (formula presented). We prove the existence of global, unbounded solutions for (formula presented), where (formula presented)and (formula presented) Previously, it was known that global, unbounded solutions exist for (formula presented), whereas for (formula presented) there are no such solutions.

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Global unbounded solutions of the Fujita equation in the intermediate range

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