LINEAR PARABOLIC EQUATIONS IN LOCALLY UNIFORM SPACES

By José M. Arrieta, Aníbal Rodríguez-Bernal, Jan W. Cholewa, Tomasz Dłotko. 2004

95 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Control and Systems Engineering, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/92443e9e2ce7f6c6737a88250cd291387543a871

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In Computational Theory and Mathematics

1. Arnaud Ducrot

In Control and Systems Engineering

1. Y. Fujishima
2. Arnaud Ducrot

In Mathematical Physics

1. Y. Fujishima
2. Arnaud Ducrot

Citations in the corpus

• Spatial propagation for a two component reaction–diffusion system arising in population dynamics (2016, methodology): “We refer to Arrieta et al [3] and Volpert and Volpert [30] for different equivalent norm formulations for this space.”
• Existence and nonexistence of solutions for the heat equation with a superlinear source term (2016, background): “cuss the cases f(u) = up and f(u) = eu. We first recall two lemmas on properties of uniformly local Lp spaces. For partial differential equations in the uniformly local Lebesgue spaces, see for example [2], [13] and [16]. Lemma 2.1 gives the smoothing effect of the heat semigroup in Lp ul,ρ(R N) (see [”