Journal
JOURNAL OF EVOLUTION EQUATIONS
Volume 19, Issue 3, Pages 845-882Publisher
SPRINGER BASEL AG
DOI: 10.1007/s00028-019-00493-w
Keywords
Anisotropic equations; Finite speed of propagation; L-infinity-estimates; Non-uniqueness
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Funding
- Hacettepe University BAP [FBI-2017-16260]
- grant PdR 2016-2018 -linea di intervento 2: Metodi Variazionali ed Equazioni Differenziali of the University of Catania
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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.
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