Schätzler L (2019)
Publication Language: English
Publication Type: Journal article, Original article
Publication year: 2019
Book Volume: 44
Pages Range: 1055-1092
Journal Issue: 2
We are concerned with the Neumann type boundary value problem to parabolic systems
\partial_t u − div(Dξf(x, Du)) = −Dug(x, u),
where u is vector-valued, f satisfies a linear growth condition and ξ \mapsto f(x, ξ) is convex. We prove that variational solutions of such systems can be approximated by variational solutions to
\partial_t u − div(Dξfp(x, Du)) = −Dug(x, u)
with p >1. This can be interpreted both as a stability and existence result for general flows with linear growth.
APA:
Schätzler, L. (2019). Existence for evolutionary Neumann problems with linear growth by stability results. Annales Academiae Scientiarum Fennicae-Mathematica, 44(2), 1055-1092. https://dx.doi.org/10.5186/aasfm.2019.4461
MLA:
Schätzler, Leah. "Existence for evolutionary Neumann problems with linear growth by stability results." Annales Academiae Scientiarum Fennicae-Mathematica 44.2 (2019): 1055-1092.
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