José M. Arrieta

Computational Theory and Mathematics · 2000–2011

A researcher in the Science corpus: 9 papers; trusts 4 researchers and is trusted by 5 researchers here, as inferred from the citation graph.

Subfields

• Computational Theory and Mathematics — 15 citations into it; #3,498 of 12,182 by trust here, #2,629 by citations
• Control and Systems Engineering — 10 citations into it; #2,005 of 8,257 by trust here, #1,718 by citations
• Applied Mathematics — 9 citations into it; #6,312 of 7,620 by trust here, #4,234 by citations
• Mathematical Physics — 8 citations into it; #2,998 of 8,562 by trust here, #2,038 by citations

Whom José M. Arrieta trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Alexandre Nolasco de Carvalho
2. Philippe Souplet
3. Aníbal Rodríguez-Bernal
4. Jack K. Hale
5. Messoud A. Efendiev
6. German Lozada-Cruz

Who trusts José M. Arrieta overall

1. Alexandre Nolasco de Carvalho
2. Bixiang Wang
3. Arnaud Ducrot
4. German Lozada-Cruz
5. S. Piskarev
6. Denis S. Grebenkov
7. Francisco Morillas
8. Philippe Souplet

Papers from José M. Arrieta's perspective

Ordered by how strongly the researchers José M. Arrieta trusts endorse each paper. Same corpus, a different order for every researcher.

1. Spectral convergence and nonlinear dynamics of reaction–diffusion equations under perturbations of the domain
2. Perturbation of the Boundary in Boundary-Value Problems of Partial Differential Equations
3. Dynamics in dumbbell domains I. Continuity of the set of equilibria
4. The Effect of Domain Squeezing upon the Dynamics of Reaction-Diffusion Equations
5. Analytic Semigroups and Optimal Regularity in Parabolic Problems
6. Gradient blow-up for multidimensional nonlinear parabolic equations with general boundary conditions (Differential and Integral Equations)
7. Spectral stability of the Neumann Laplacian
8. The attractor for a nonlinear reaction‐diffusion system in an unbounded domain
9. Attractors for Partly Dissipative Reaction Diffusion Systems in Rn
10. The local theory for viscous Hamilton–Jacobi equations in Lebesgue spaces

Their papers

• Asymptotic behavior and attractors for reaction diffusion equations in unbounded domains (2004) — 79 citations
• Spectral convergence and nonlinear dynamics of reaction–diffusion equations under perturbations of the domain (2004) — 116 citations
• Dynamics in dumbbell domains I. Continuity of the set of equilibria (2006) — 103 citations
• Attractors of parabolic problems with nonlinear boundary conditions. uniform bounds (2000) — 151 citations
• LINEAR PARABOLIC EQUATIONS IN LOCALLY UNIFORM SPACES (2004) — 95 citations
• Homogenization in a thin domain with an oscillatory boundary (2011) — 74 citations
• Dynamics in dumbbell domains III. Continuity of attractors (2009) — 59 citations
• DYNAMICS IN DUMBBELL DOMAINS II. THE LIMITING PROBLEM (2009) — 66 citations
• Boundedness of global solutions for nonlinear parabolic equations involving gradient blow-up phenomena (2004) — 47 citations