In this work, we study the following inverse problem with variable exponents: utt-div(|?u|r(.)-2 ?u)+ a|ut|m(.)-2 ut-b|u|p(.)-2u = ?(t)w(x), where a, b > 0 are constants and variable exponents p(.), r(.)… Click to show full abstract
In this work, we study the following inverse problem with variable exponents: utt-div(|?u|r(.)-2 ?u)+ a|ut|m(.)-2 ut-b|u|p(.)-2u = ?(t)w(x), where a, b > 0 are constants and variable exponents p(.), r(.) and m(.) are given functions. We analyzed the finite-time blow-up of the solution using the alternative method proposed by Georgiev and Todorova with negative initial energy.
Keywords:
blow solution;
inverse problem;
variable exponents
Journal Title: Filomat
Year Published: 2024
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Journal Title: Filomat
Year Published: 2024
Link to full text (if available)
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recommendations!