Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/3608

 Title: Note for Global Existence of Semilinear Heat Equation in Weighted L^∞ Space Authors: Fujiwara, K.Georgiev, V.Ozawa, T. Keywords: Semilinear heat equationself-similar solution Issue Date: 2019 Publisher: Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences Citation: Pliska Studia Mathematica Bulgarica, Vol. 30, No 1, (2019), 7p-20p Abstract: The local and global existence of the Cauchy problem for semilinear heat equations with small data is studied in the weighted L^∞(R^n ) framework by a simple contraction argument. The contraction argument is based on a weighted uniform control of solutions related with the free solutions and the first iterations for the initial data of negative power. 2010 Mathematics Subject Classification: 35K55, 35A01. Description: [Georgiev V.; Георгиев В.] URI: http://hdl.handle.net/10525/3608 ISSN: 0204-9805 Appears in Collections: 2019 Volume 30

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