Ricardo Castillo
University of the Bío Bío
17 Papers
35 Citations
Ricardo Castillo is an academic researcher from University of the Bío Bío. The author has contributed to research in topics: Bounded function & Omega. The author has an hindex of 4, co-authored 8 publications. Previous affiliations of Ricardo Castillo include Federal University of São Carlos & Federal University of Pernambuco.
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Papers
On the critical exponent for some semilinear reaction–diffusion systems on general domains
Ricardo Castillo,Miguel Loayza +1 more
TL;DR: In this paper, the authors considered the parabolic systems with homogeneous Dirichlet boundary conditions and gave conditions that guarantee the global existence (or the blow-up in finite time) of nonnegative solutions.
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Global existence and blowup for a coupled parabolic system with time-weighted sources on a general domain
Ricardo Castillo,Miguel Loayza +1 more
TL;DR: In this article, the authors considered the parabolic problem with homogeneous Dirichlet boundary conditions and determined conditions that guarantee either the global existence or the blowup in finite time of nonnegative solutions.
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Interior Sobolev regularity for fully nonlinear parabolic equations
TL;DR: In this article, Sobolev estimates for solutions of fully nonlinear parabolic equations, under minimal, asymptotic, assumptions on the governing operator, are established. But their results are restricted to the case where the original operator is assumed to behave in a way similar to the one in this paper.
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Global and nonglobal existence for a strongly coupled parabolic system on a general domain
TL;DR: In this article, the authors consider the parabolic system u t − Δ u = f ( t ) u r v s, v t − ǫ v = g ( t ǒ v ) u q v s, in Ω × ( 0, T ), where Ω ⊂ R N is either an unbounded or bounded domain and f, g ∈ C [ 0, ∞ ).
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•Posted Content
Interior Sobolev regularity for fully nonlinear parabolic equations
TL;DR: In this article, Sobolev estimates for solutions of fully nonlinear parabolic equations, under minimal, asymptotic, assumptions on the governing operator, are established. But their results are restricted to the case where the original operator is assumed to be in O(n 2,1,p) space and integral regularity is set by the behavior of the recession function at the ends of that space.
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