Well-posedness results and blow-up for a class of semilinear heat equations

This paper considers the initial value problem for nonlinear heat equation in the whole space R N . The local existence theory related to the finite time blow-up is also obtained for the problem with nonlinearity source (like polynomial types).

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Bibliographische Detailangaben
Veröffentlicht in:	Advances in difference equations 2021-05, Vol.2021 (1), p.1-11, Article 241
Hauptverfasser:	Yen, Dang Van, Binh, Ho Duy, Long, Le Dinh, Van, Ho Thi Kim
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Blow-up Boundary value problems Difference and Functional Equations Existence Fixed Point Theory and Applications to Fractional Ordinary and Partial Difference and Differential Equations Functional Analysis Mathematics Mathematics and Statistics Nonlinear heat equation Nonlinearity Ordinary Differential Equations Partial Differential Equations Polynomials Thermodynamics Well posed problems
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Beschreibung
Zusammenfassung:	This paper considers the initial value problem for nonlinear heat equation in the whole space R N . The local existence theory related to the finite time blow-up is also obtained for the problem with nonlinearity source (like polynomial types).
ISSN:	1687-1847 1687-1839 1687-1847
DOI:	10.1186/s13662-021-03404-x