Search results for "Discrete Poisson equation"

showing 3 items of 3 documents

Radial growth of solutions to the poisson equation

2001

We establish a radial growth estimate of the type of the iterated law of the logarithm for solutions to the Poisson equation in the unit ball.

Laplace's equationUnit spheresymbols.namesakeUniqueness theorem for Poisson's equationLogarithmIterated functionDiscrete Poisson equationMathematical analysissymbolsLaw of the iterated logarithmGeneral MedicinePoisson's equationMathematicsComplex Variables, Theory and Application: An International Journal
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Discrete KP Equation and Momentum Mapping of Toda System

2003

Abstract A new approach to discrete KP equation is considered, starting from the Gelfand-Zakhharevich theory for the research of Casimir function for Toda Poisson pencil. The link between the usual approach through the use of discrete Lax operators, is emphasized. We show that these two different formulations of the discrete KP equation are equivalent and they are different representations of the same equations. The relation between the two approaches to the KP equation is obtained by a change of frame in the space of upper truncated Laurent series and translated into the space of shift operators.

Laurent seriesDiscrete Poisson equationMathematical analysisStatistical and Nonlinear PhysicsKadomtsev–Petviashvili equationPoisson distributionKP equations discrete Lax operator Toda system Gelfand-Zakhharevich theoryCasimir effectsymbols.namesakesymbolsSettore MAT/07 - Fisica MatematicaMathematical PhysicsPencil (mathematics)Mathematics
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The Homogeneous Poisson Point Process

2008

symbols.namesakeComplete spatial randomnessUniqueness theorem for Poisson's equationCompound Poisson processMathematical analysisDiscrete Poisson equationHomogeneous poisson point processsymbolsFractional Poisson processMathematics
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