We show that the set of the initial conditions for which the solution of a heat equation (with critical growth in a bounded domain with a small hole) is global and bounded is not star-shaped.
Blow-up for sign-changing solutions of the critical heat equation in domains with a small hole / Ianni, Isabella; Musso, Monica; Pistoia, Angela. - In: COMMUNICATIONS IN CONTEMPORARY MATHEMATICS. - ISSN 0219-1997. - 18:1(2016), p. 1550017. [10.1142/S0219199715500170]
Blow-up for sign-changing solutions of the critical heat equation in domains with a small hole
Ianni, Isabella;PISTOIA, Angela
2016
Abstract
We show that the set of the initial conditions for which the solution of a heat equation (with critical growth in a bounded domain with a small hole) is global and bounded is not star-shaped.File allegati a questo prodotto
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