A One-Dimensional Time-Fractional Damped Wave Equation with a Convection Term
نویسندگان
چکیده
We investigate a semilinear time-fractional damped wave equation in one dimension, posed bounded interval. The considered involves convection term and singular potentials on extremity of the A Dirichlet boundary condition depending time-variable is imposed. Using nonlinear capacity estimates, we establish sufficient conditions for nonexistence weak solutions to problem. In particular, when independent time, show existence Fujita-type critical exponent.
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ژورنال
عنوان ژورنال: Symmetry
سال: 2023
ISSN: ['0865-4824', '2226-1877']
DOI: https://doi.org/10.3390/sym15051071