Publications

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2022

Ricardo Castillo; Omar Guzmán-Rea; Miguel Loayza

On the local existence for Hardy parabolic equations with singular initial data Journal Article

Journal of Mathematical Analysis and Applications, 510 (2), pp. 126022, 2022, ISSN: 22247X.

Links | Etiquetas: GIEDPMA

Aldryn Aparcana; Ricardo Castillo; Omar Guzmán-Rea; Miguel Loayza

Local existence for evolution equations with nonlocal term in time and singular initial data Journal Article

Zeitschrift fur Angewandte Mathematik und Physik, 73 (2), pp. 85, 2022, ISSN: 00442275.

Links | Etiquetas: EDP, GIEDPMA

2021

Ricardo Castillo; Miguel Loayza; Arlúcio Viana

Local existence and nonexistence for a fractional reaction–diffusion equation in Lebesgue spaces Journal Article

Fract. Calc. Appl. Anal., 24 (4), pp. 1193-1219, 2021.

Links | Etiquetas: EDP, GIEDPMA

2020

Aldryn Aparcana; Ricardo Castillo; Omar Guzmán-Rea; Miguel Loayza

On the local existence for a weakly parabolic system in Lebesgue spaces Journal Article

J. Differential Equations, 268 (6), pp. 3129–3151, 2020, ISSN: 0022-0396.

Links | Etiquetas: EDP, GIEDPMA

2019

Ricardo Castillo; Miguel Loayza

Global existence and blowup for a coupled parabolic system with time-weighted sources on a general domain Journal Article

Z. Angew. Math. Phys., 70 (2), pp. Paper No. 57, 16, 2019, ISSN: 0044-2275.

Links | Etiquetas: EDP, GIEDPMA

2017

Ricardo Castillo; Miguel Loayza

A semilinear parabolic problem with variable reaction on a general domain Journal Article

Comput. Math. Appl., 74 (3), pp. 351–359, 2017.

Links | Etiquetas: EDP, GIEDPMA

Ricardo Castillo; Edgard Pimentel

Interior Sobolev regularity for fully nonlinear parabolic equations Journal Article

Calc. Var. Partial Differential Equations, 56 (5), pp. Art. 127, 26, 2017.

Links | Etiquetas: EDP, GIEDPMA