Naslov
Strong traces to degenerate parabolic equations

Autori
Erceg, Marko ; Mitrović, Darko

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
Workshop on Control of Dynamical Systems - Book of Abstracts / - , 2021, 7-7

Skup
Workshop on Control of Dynamical Systems

Mjesto i datum
Dubrovnik, Hrvatska, 14.06.2021. - 16.06.2021

Vrsta sudjelovanja
Pozvano predavanje

Vrsta recenzije
Nije recenziran

Ključne riječi
degenerate parabolic equations ; strong traces ; kinetic formulation

Sažetak
In this talk we study entropy solutions of degenerate (homogeneous) scalar parabolic equations and prove that all such solutions admit the strong trace at t = 0. No nondegeneracy conditions on the flux and the diffusion matrix are required. Here the degeneracy appears as the diffusion matrix is only positive semi- definite, i.e. it can be equal to zero in (variabledependent) directions. Although the well- posedness for the Cauchy problems (under the strong trace) corresponding to such equations is well established in quite general situations, our result implies that the weak trace suffices for uniqueness. Moreover, this result could be an important step into formulating the initial boundary value problem in the sense of Bardos, LeRoux and N´ed´elec. This is joint work with Darko Mitrovi´c.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA