The microstructure of Lipschitz solutions  for a one-dimensional logarithmic diffusion equation

Nicole Schadewaldt

Displaying similar documents to “The microstructure of Lipschitz solutions for a one-dimensional logarithmic diffusion equation”

Higher order linear connections from first order ones

Włodzimierz M. Mikulski (2007)

Archivum Mathematicum

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We describe how find all $ℳ f_{m}$ -natural operators $D$ transforming torsion free classical linear connections $\nabla$ on $m$ -manifolds $M$ into $r$ -th order linear connections $D (\nabla)$ on $M$ .

On the eigenvalues of a Robin problem with a large parameter

Alexey Filinovskiy (2014)

Mathematica Bohemica

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We consider the Robin eigenvalue problem $Δ u + λ u = 0$ in $Ω$ , $\partial u / \partial ν + α u = 0$ on $\partial Ω$ where $Ω \subset ℝ^{n}$ , $n \geq 2$ is a bounded domain and $α$ is a real parameter. We investigate the behavior of the eigenvalues $λ_{k} (α)$ of this problem as functions of the parameter $α$ . We analyze the monotonicity and convexity properties of the eigenvalues and give a variational proof of the formula for the derivative $λ_{1}^{'} (α)$ . Assuming that the boundary $\partial Ω$ is of class $C^{2}$ we obtain estimates to the difference $λ_{k}^{D} - λ_{k} (α)$ between the $k$ -th eigenvalue of the Laplace operator with...

Lattice effect algebras densely embeddable into complete ones

Zdena Riečanová (2011)

Kybernetika

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An effect algebraic partial binary operation $ø p l u s$ defined on the underlying set $E$ uniquely introduces partial order, but not conversely. We show that if on a MacNeille completion $\hat{E}$ of $E$ there exists an effect algebraic partial binary operation $\hat{\oplus}$ then $\hat{\oplus}$ need not be an extension of $\oplus$ . Moreover, for an Archimedean atomic lattice effect algebra $E$ we give a necessary and sufficient condition for that $\hat{\oplus}$ existing on $\hat{E}$ is an extension of $\oplus$ defined on $E$ . Further we show that such $\hat{\oplus}$ extending $\oplus$ exists...