EXISTENCE AND BLOW-UP FOR NON-AUTONOMOUS SCALAR CONSERVATION LAWS WITH VISCOSITY

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dc.contributor.authorBianchini, Stefano
dc.contributor.authorLeccese, Giacomo Maria
dc.date.accessioned2024-02-15T07:55:02Z
dc.date.available2024-02-15T07:55:02Z
dc.date.issued2023-11-23
dc.descriptionSISSA 15/2023/MATE
dc.description.abstractWe consider a question posed in [1], namely the blow-up of the PDE ut + (b(t, x)u1+k)x = uxx when b is uniformly bounded, Lipschitz and k = 2. We give a complete answer to the behavior of solutions when b belongs to the Lorentz spaces b ∈ Lp,∞, p ∈ (2,∞], or bx ∈ Lp,∞, p ∈ (1,∞].
dc.identifier.urihttps://openscience.sissa.it/handle/1963/35470
dc.language.isoen
dc.titleEXISTENCE AND BLOW-UP FOR NON-AUTONOMOUS SCALAR CONSERVATION LAWS WITH VISCOSITY
dc.typePreprint
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