The nonlinear heat equation with high order mixed derivatives of the Dirac delta as initial values

<< As an application, we prove the existence of initial values u_0 = \lambda f0 --> \lambda ]]>> (Ghoul (2011), (2012)).]]>

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Bibliographic Details
Published in:	Transactions of the American Mathematical Society Vol. 366; no. 1; pp. 505 - 530
Main Authors:	TAYACHI, SLIM, WEISSLER, FRED B.
Format:	Journal Article
Language:	English
Published:	American Mathematical Society 01-01-2014
Subjects:	Continuous functions Differential equations Energy value Ghouls Heat equation Nonexistence Numbers Semigroups Sobolev spaces Uniqueness Nonlinear heat equation highly singular initial values
Online Access:	Get full text
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Summary:	<< As an application, we prove the existence of initial values u_0 = \lambda f0 --> \lambda ]]>> (Ghoul (2011), (2012)).]]>
ISSN:	0002-9947 1088-6850
DOI:	10.1090/S0002-9947-2013-05894-1