For υ ∈ (0, 1), the nonautonomous integrodi differential equation Dtυu-∫0tκ1(t-s)L2u(·,s)ds=f(x,t) is considered here, where Dtυ is the Caputo fractional derivative and L1 and L2 are uniformly elliptic operators with smooth coefficients dependent on time. The global classical solvability of the associated initial-boundary value problems is addressed.
Solvability of linear boundary value problems for subdiffusion equations with memory
Pata, Vittorino;
2018-01-01
Abstract
For υ ∈ (0, 1), the nonautonomous integrodi differential equation Dtυu-∫0tκ1(t-s)L2u(·,s)ds=f(x,t) is considered here, where Dtυ is the Caputo fractional derivative and L1 and L2 are uniformly elliptic operators with smooth coefficients dependent on time. The global classical solvability of the associated initial-boundary value problems is addressed.File in questo prodotto:
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