Results 11 to 20 of about 85,222 (279)
Discrete sequences in unbounded domains [PDF]
Discrete sequences with respect to the Kobayashi distance in a strongly pseudoconvex bounded domain $D$ are related to Carleson measures by a formula that uses the Euclidean distance from the boundary of $D$. Thus the speed of escape at the boundary of
Saracco, Alberto
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Unbounded domains of normality [PDF]
Let f f be a transcendental entire function of order less than 1/2. We introduce the method of “self-sustaining spread” to study the components of the set of normality of such a function. We give a new proof of the fact that any preperiodic or periodic component of the set of normality of f f is bounded.
Anderson, J. M., Hinkkanen, A.
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Bergman completeness of unbounded hartogs Domains [PDF]
AbstractSome results for the Bergman functions in unbounded domains are shown. In particular, a class of unbounded Hartogs domains, which are Bergman complete and Bergman exhaustive, is given.
Pflug, Peter, Zwonek, Włodzimierz
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Normal solvability of general linear elliptic problems
The paper is devoted to general elliptic problems in the Douglis-Nirenberg sense. We obtain a necessary and sufficient condition of normal solvability in the case of unbounded domains.
A. Volpert, V. Volpert
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Initial-boundary value problems for parabolic and elliptic-parabolic (that is degenerated parabolic) equations in unbounded domains with respect to the spatial variables were studied by many authors.
M. M. Bokalo, O. V. Domanska
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Quadridirectional eigenmode expansion scheme for 2-D modeling of wave propagation in integrated optics [PDF]
Superpositions of two perpendicularly oriented bidirectional eigenmode propagation (BEP) fields, composed of basis modes that satisfy Dirichlet boundary conditions, can establish rigorous semianalytical solutions for problems of 2-D fixed-frequency wave ...
Hammer, Manfred
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Clifford Analysis over Unbounded Domains
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gürlebeck, Klaus +3 more
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Critical singular problems on unbounded domains
We present some results of existence for the following problem: −Δu=a(x)g(u)+u|u|2∗−2, x∈ℝN(N≥3), u∈D1,2(ℝN), where the function a is a sign-changing function with a singularity at the origin and g has growth up to the Sobolev critical exponent 2∗=2N/(N ...
D. C. de Morais Filho, O. H. Miyagaki
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Damped nonlinear Ginzburg-Landau equation with saturation. Part I. Existence of solutions on general domains [PDF]
We study the complex Ginzburg-Landau equation posed on possibly unbounded domains, including some singular and saturated nonlinear damping terms. This model interpolates between the nonlinear Schrödinger equation and dissipative parabolic dynamics ...
Pascal Bégout, Jesús Ildefonso Díaz
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Local Fractal Interpolation on Unbounded Domains [PDF]
AbstractWe define fractal interpolation on unbounded domains for a certain class of topological spaces and construct local fractal functions. In addition, we derive some properties of these local fractal functions, consider their tensor products, and give conditions for local fractal functions on unbounded domains to be elements of Bochner–Lebesgue ...
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