In this paper we study the transport equation [image omitted] in the case where the vector field a(t, x) is monotone in space. The main result is a stability result w.r.t. weak convergence of a(t, x) of the corresponding flow.
An estimate on the flow generated by monotone operators / Bianchini, S.; Gloyer, M.. - In: COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0360-5302. - 36:5(2011), pp. 777-796. [10.1080/03605302.2010.534224]
An estimate on the flow generated by monotone operators
Bianchini, S.;Gloyer, M.
2011-01-01
Abstract
In this paper we study the transport equation [image omitted] in the case where the vector field a(t, x) is monotone in space. The main result is a stability result w.r.t. weak convergence of a(t, x) of the corresponding flow.File in questo prodotto:
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