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- W4386733497 abstract "In this thesis, we study the nonlinear nonlocal equation ?t u=J*u-u+u?+p where p>0 and J is nonnegative, bounded, and radially symmetric with unit integral. The Fourier transform of J satisfies J ?(?)=1-A|?|^? (ln1/|?| ? )^?+o(?|?|?^? (ln?1/(|?|)? )^? ) as ?0, for 0<??2, ??R, and A>0. In this study, we establish the local existence, uniqueness, and the comparison principle of solutions. Furthermore, we show that the Fujita critical exponent for this equation is ?/n when ?<0. For the case ?>1, we discover that the critical exponent is ?/n , and the solutions belong to the global to the small initial data regime." @default.
- W4386733497 created "2023-09-15" @default.
- W4386733497 creator A5057419742 @default.
- W4386733497 date "2023-09-14" @default.
- W4386733497 modified "2023-09-26" @default.
- W4386733497 title "Critical exponent for nonlinear nonlocal equations" @default.
- W4386733497 doi "https://doi.org/10.58837/chula.the.2018.330" @default.
- W4386733497 hasPublicationYear "2023" @default.
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