Semilinear evolution models with scale-invariant friction and visco-elastic damping
نویسندگان
چکیده
In this paper we study the global (in time) existence of small data Sobolev solutions and blow-up to Cauchy problem for semilinear evolution models with scale-invariant friction, visco-elastic damping power nonlinearity. We are interested in critical exponents question how higher regularity influences admissible range $ p nonlinearity get solutions.
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ژورنال
عنوان ژورنال: Communications on Pure and Applied Analysis
سال: 2023
ISSN: ['1534-0392', '1553-5258']
DOI: https://doi.org/10.3934/cpaa.2023075