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On the Euler Equation in an Unbounded Domain of the Plane
Journal of Mathematical Fluid Mechanics, 2008We discuss existence and uniqueness of solutions to the Euler Equation in an unbounded domain of the plane. We only assume the vorticity to be bounded, whereas in this kind of problems assumptions on its decreasing at infinity are usually made. The solution is obtained as limit of solutions to problems with compactly supported data.
S. Caprino, MARCHIORO, Carlo
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1991
With the enumeration of all regular and semiregular cells and the rules for combining them into three-dimensional structures, we have completed the discussion of connectivities, and are ready to take actual distances into account.
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With the enumeration of all regular and semiregular cells and the rules for combining them into three-dimensional structures, we have completed the discussion of connectivities, and are ready to take actual distances into account.
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Plane Domains Which Are Spectrally Determined
Annals of Global Analysis and Geometry, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Integrability of Superharmonic Functions on Plane Domains
Journal of the London Mathematical Society, 1992Let \(D\) be a bounded domain in the complex plane. From the main theorem of this paper, the following result follows: If \(D\) is bounded by a finite number of closed Jordan curves and it satisfies an ``interior \(\theta\)-wedge condition'', then any positive superharmonic function on \(D\) belongs to \(L^ p(D)\) for ...
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Stokes problem of the cornered domain in the plane
Applied Mathematics and Computation, 2005The author examines the regularity of solution of steady incompressible Stokes equations in a plane sector with the angle \(\theta ...
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On plane coverings with convex domains
Mathematika, 1971The following theorem has been proved by Bambah, Rogers and Zassenhaus [1], Theorem A. Let K be a closed convex domain with a centre. Let A 0 A 1 ,..., A n = A 0 , A n+1 ,....., A n+m , be points such that: (i) the polygon A 0 A 1 ... A n is a Jordan polygon bounding a closed domain π of area a(π ); (ii) for each r, 0 ≤ r ≤ n, there is a point ...
Bambah, R. P., Woods, A. C.
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The fredholm eigenvalues of plane domains
Complex Variables, Theory and Application: An International Journal, 1986The problem of how the Fredholm eigenvalue δ(D) of a simply connected domain D varies under “small” perturbations of D has been much studied. The difficulty consists in determining the sense in which such a perturbation is small. Here we consider a metric which arises in the definition of universal Teichmuller space. We show that, with this metric, the
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Möbius automorphisms of plane domains
Annales Academiae Scientiarum Fennicae. Series A. I. Mathematica, 1985Let D be a domain on the Riemann sphere. It is shown that the group of Möbius transformations preserving D is discontinuous unless D is equivalent under a Möbius transformation to a spiral domain, a strip or the sphere with zero, one or two points removed.
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The Poincaré Metric of Plane Domains
Journal of the London Mathematical Society, 1978Beardon, A. F., Pommerenke, Ch.
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A decomposition for plane domains with the quasihyperbolic metric
Journal of Mathematical Analysis and Applications, 2021Ana Portilla +2 more
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