On the critical exponent for some semilinear reaction–diffusion systems on general domains R Castillo, M Loayza Journal of Mathematical Analysis and Applications 428 (2), 1117-1134, 2015 | 25 | 2015 |
Interior Sobolev regularity for fully nonlinear parabolic equations R Castillo, EA Pimentel Calculus of Variations and Partial Differential Equations 56, 1-26, 2017 | 9 | 2017 |
Global and nonglobal existence for a strongly coupled parabolic system on a general domain R Castillo, M Loayza, CS Paixão Journal of Differential Equations 261 (6), 3344-3365, 2016 | 9 | 2016 |
Global existence and blowup for a coupled parabolic system with time-weighted sources on a general domain R Castillo, M Loayza Zeitschrift für angewandte Mathematik und Physik 70, 1-16, 2019 | 8 | 2019 |
On the local existence for a weakly parabolic system in Lebesgue spaces A Aparcana, R Castillo, O Guzmán-Rea, M Loayza Journal of Differential Equations 268 (6), 3129-3151, 2020 | 4 | 2020 |
On the local existence for Hardy parabolic equations with singular initial data R Castillo, O Guzmán-Rea, M Loayza Journal of Mathematical Analysis and Applications 510 (2), 126022, 2022 | 3 | 2022 |
A semilinear parabolic problem with variable reaction on a general domain R Castillo, M Loayza Computers & Mathematics with Applications 74 (3), 351-359, 2017 | 3 | 2017 |
Local existence and non-existence for a fractional reaction–diffusion equation in Lebesgue spaces R Castillo, M Loayza, A Viana Fractional Calculus and Applied Analysis 24 (4), 1193-1219, 2021 | 2 | 2021 |
Global and blow up solutions for a semilinear heat equation with variable reaction reaction on a general domain M Loayza, R Castillo Authorea Preprints, 2023 | | 2023 |
Existence and non-existence of global solutions for a heat equation with degenerate coefficients R Castillo, O Guzmán-Rea, M Zegarra Partial Differential Equations and Applications 3 (6), 69, 2022 | | 2022 |
Global solution for a coupled parabolic system with degenerate coefficients and time-weighted sources R Castillo, O Guzmán-Rea, M Loayza, M Zegarra arXiv preprint arXiv:2209.04781, 2022 | | 2022 |
on a second critical value for the local existence of solutions in lebesgue spaces B Carhuas-Torre, R Castillo, M Loayza arXiv preprint arXiv:2207.10182, 2022 | | 2022 |
Local existence for evolution equations with nonlocal term in time and singular initial data A Aparcana, R Castillo, O Guzmán-Rea, M Loayza Zeitschrift für angewandte Mathematik und Physik 73 (2), 85, 2022 | | 2022 |