GLOBAL SOLUTION FOR COUPLED PARABOLIC SYSTEMS WITH DEGENERATE COEFFICIENTS AND TIME-WEIGHTED SOURCES

Castillo R.; Guzmán-Rea O.; Loayza M.; Zegarra M. · Electronic Journal of Differential Equations (2024) · DOI: 10.58997/ejde.2024.67

Resumen

In this article we obtained the so-called Fujita exponent for the degenerate parabolic coupled system ut − div(ω(x)∇u) = tr vp vt − div(ω(x)∇v) = ts up in RN × (0, T) with initial data belonging to [L∞ (RN)]2, where p, q > 0 with pq > 1; r, s > −1, and either ω(x) = |x1 |a or ω(x) = |x|b with a, b > 0.

Instituciones: Universidad Nacional Mayor de San Marcos; Universidad Tecnológica del Perú