We consider a quasilinear parabolic Cauchy problem with spatial anisotropy of orthotropic type and study the spatial localization of solutions. Assuming that the initial datum is localized with respect to a coordinate having slow diffusion rate, we bound the corresponding directional velocity of the support along the flow. The expansion rate is shown to be optimal for large times.
Titolo: | Anisotropic Sobolev embeddings and the speed of propagation for parabolic equations | |
Autori interni: | ||
Data di pubblicazione: | 2019 | |
Rivista: | ||
Handle: | http://hdl.handle.net/20.500.11769/364985 | |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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