Oblique derivative problems and invariant measures

I. Capuzzo Dolcetta; M. G. Garroni

Displaying similar documents to “Oblique derivative problems and invariant measures”

Stochastic calculus and degenerate boundary value problems

Patrick Cattiaux (1992)

Annales de l'institut Fourier

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Consider the boundary value problem (L.P): $(h - A) u = f$ in $D$ , $(v - Γ) u = g$ on $\partial D$ where $A$ is written as $A = 1 / 2 \sum_{i = 1}^{m} Y_{i}^{2} + Y_{0}$ , and $Γ$ is a general Venttsel’s condition (including the oblique derivative condition). We prove existence, uniqueness and smoothness of the solution of (L.P) under the Hörmander’s condition on the Lie brackets of the vector fields $Y_{i}$ ( $0 \leq i \leq m$ ), for regular open sets $D$ with a non-characteristic boundary. Our study lies on the stochastic representation of $u$ and uses the stochastic calculus of variations...

A maximal regularity result with applications to parabolic problems with nonhomogeneous boundary conditions

Davide Guidetti (1990)

Rendiconti del Seminario Matematico della Università di Padova

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On the dense trajectory of Lasota equation.

Dawidowicz, Antoni Leon, Haribash, Najemedin (2005)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

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Boundary-Value Problems for almost Nonlinear Singularly Perturbed Systems of Ordinary Differential Equations

Karandjulov, L., Stoyanova, Y. (2000)

Serdica Mathematical Journal

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A boundary-value problems for almost nonlinear singularly perturbed systems of ordinary differential equations are considered. An asymptotic solution is constructed under some assumption and using boundary functions and generalized inverse matrix and projectors.

Ergodicity for the stochastic complex Ginzburg–Landau equations

Cyril Odasso (2006)

Annales de l'I.H.P. Probabilités et statistiques

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Explicit solutions for Sturm-Liouville operator problems (II).

Lucas Jódar Sánchez (1987)

Stochastica

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It is proved that the resolution problem of a Sturm-Liouville operator problem for a second-order differential operator equation with constant coefficients is solved in terms of solutions of the corresponding algebraic operator equation. Existence and uniqueness conditions for the existence of nontrivial solutions of the problem and explicit expressions of them are given.

Explicit solutions for non homogeneous Sturm-Liouville operators problems.

Lucas Jódar Sánchez (1989)

Publicacions Matemàtiques

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In this paper we study existence and sufficiency conditions for the solutions of Sturm-Liouville operator problems related to the operator differential equation X'' - QX = F(t). Explicit solutions of the problem in terms of a square root of the operator Q are given.