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$p$ -adic difference-difference Lotka-Volterra equation and ultra-discrete limit.

Matsutani, Shigeki (2001)

International Journal of Mathematics and Mathematical Sciences

$p$ Harmonic Measure in Simply Connected Domains

John L. Lewis, Kaj Nyström, Pietro Poggi-Corradini (2011)

Annales de l’institut Fourier

Let $Ω$ be a bounded simply connected domain in the complex plane, $ℂ$ . Let $N$ be a neighborhood of $\partial Ω$ , let $p$ be fixed, $1 < p < \infty,$ and let $\hat{u}$ be a positive weak solution to the $p$ Laplace equation in $Ω \cap N .$ Assume that $\hat{u}$ has zero boundary values on $\partial Ω$ in the Sobolev sense and extend $\hat{u}$ to $N ∖ Ω$ by putting $\hat{u} \equiv 0$ on $N ∖ Ω .$ Then there exists a positive finite Borel measure $\hat{μ}$ on $ℂ$ with support contained in $\partial Ω$ and such that $\begin{matrix} \int | \nabla \hat{u} |^{p - 2} 〈 \nabla \hat{u}, \nabla φ 〉 d A = - \int φ d \hat{μ} \end{matrix}$ whenever $φ \in C_{0}^{\infty} (N) .$ If $p = 2$ and if $\hat{u}$ is the Green function for $Ω$ with pole at $x \in Ω ∖ \bar{N}$ then the measure $\hat{μ}$ coincides with harmonic measure...

$p$ -harmonic measure is not additive on null sets

José G. Llorente, Juan J. Manfredi, Jang-Mei Wu (2005)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

When $1 < p < \infty$ and $p \neq 2$ the $p$ -harmonic measure on the boundary of the half plane $ℝ_{+}^{2}$ is not additive on null sets. In fact, there are finitely many sets $E_{1}$ , $E_{2}$ ,..., $E_{κ}$ in $ℝ$ , of $p$ -harmonic measure zero, such that $E_{1} \cup E_{2} \cup . . . \cup E_{κ} = ℝ$ .

$P T$ symmetric Schrödinger operators: reality of the perturbed eigenvalues.

Caliceti, Emanuela, Cannata, Francesco, Graffi, Sandro (2010)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

$p (x)$ -harmonic functions with unbounded exponent in a subdomain

J. J. Manfredi, J. D. Rossi, J. M. Urbano (2009)

Annales de l'I.H.P. Analyse non linéaire

P-adaptive Hermite methods for initial value problems∗

Ronald Chen, Thomas Hagstrom (2012)

ESAIM: Mathematical Modelling and Numerical Analysis

We study order-adaptive implementations of Hermite methods for hyperbolic and singularly perturbed parabolic initial value problems. Exploiting the facts that Hermite methods allow the degree of the local polynomial representation to vary arbitrarily from cell to cell and that, for hyperbolic problems, each cell can be evolved independently over a time-step determined only by the cell size, a relatively straightforward method is proposed. Its utility is demonstrated on a number of model problems...

P-adaptive Hermite methods for initial value problems

Ronald Chen, Thomas Hagstrom (2012)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

P-adaptive Hermite methods for initial value problems∗

Ronald Chen, Thomas Hagstrom (2012)

ESAIM: Mathematical Modelling and Numerical Analysis

Painlevé analysis and similarity reductions for the magma equation.

Harris, Shirley E., Clarkson, Peter A. (2006)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Painlevé analysis of a class of nonlinear diffusion equations.

Chandrasekaran, P., Ramasami, E.K. (1996)

Journal of Applied Mathematics and Stochastic Analysis

Parabolic boundary-value problems with equivalued surface on the domain with a thin layer.

Du, Meihua, Li, Fengquan (2008)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Parabolic Differential Equations and Inequalities with Several Time Variables.

Wolfgang Walter (1986)

Mathematische Zeitschrift

Parabolic differential equations and vector-valued Fourier analysis

Francisco J. Ruiz, Jose L. Torrea (1989)

Colloquium Mathematicae

Parabolic differential-functional inequalities in viscosity sense

Krzysztof Topolski (1998)

Annales Polonici Mathematici

We consider viscosity solutions for second order differential-functional equations of parabolic type. Initial value and mixed problems are studied. Comparison theorems for subsolutions, supersolutions and solutions are considered.

Parabolic equations involving 0th and 1st order terms with L1 data.

Thierry Goudon, Mazen Saad (2001)

Revista Matemática Iberoamericana

This paper is devoted to general parabolic equations involving 0th and 1st order terms, in linear and nonlinear expressions, while the data only belong to L1. Existence and entropic-uniqueness of solutions are proved.

Currently displaying 1 – 20 of 670

Page 1 Next

Displaying 1 – 20 of 670

$p$ -adic difference-difference Lotka-Volterra equation and ultra-discrete limit.

$p$ Harmonic Measure in Simply Connected Domains

$p$ -harmonic measure is not additive on null sets

$P T$ symmetric Schrödinger operators: reality of the perturbed eigenvalues.

$p (x)$ -harmonic functions with unbounded exponent in a subdomain

P-adaptive Hermite methods for initial value problems∗

P-adaptive Hermite methods for initial value problems

P-adaptive Hermite methods for initial value problems∗

Painlevé analysis and similarity reductions for the magma equation.

Painlevé analysis of a class of nonlinear diffusion equations.

Parabolic boundary-value problems with equivalued surface on the domain with a thin layer.

Parabolic Differential Equations and Inequalities with Several Time Variables.

Parabolic differential equations and vector-valued Fourier analysis

Parabolic differential-functional inequalities in viscosity sense

Parabolic equations involving 0th and 1st order terms with L1 data.

Parabolic equations relative to vector fields.

Parabolic equations with coefficients depending on t and parameters

Parabolic equations with deviating argument in advance

Parabolic equations with multiple singularities

Parabolic equations with robin type boundary conditions in a non-rectangular domain.

Currently displaying 1 – 20 of 670