Naslov
Strong traces of entropy solutions to degenerate parabolic equations on the boundary

Autori
Erceg, Marko ; Mitrović, Darko

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

Izvornik
ApplMath22 - Book of Abstracts / - , 2022, 28-28

Skup
11th Conference on Applied Mathematics and Scientific Computing - ApplMath22

Mjesto i datum
Brijuni, Hrvatska, 05.09.2022. - 09.09.2022

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
degenerate parabolic equations ; strong traces ; kinetic formulation ; boundary

Sažetak
In this talk we study entropy solutions of degenerate (homogeneous) scalar parabolic equations on a bounded domain and prove that, under certain conditions, all such solutions admit the strong trace at the boundary. Here the degeneracy appears as the diffusion matrix is only positive semi-definite, i.e. it can be equal to zero in (variable-dependent) 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 Nédélec.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA