Cover Image

On a Weak Solution of an Equation for an Evolution Flow with Interaction

We prove that a stochastic differential equation for an evolution flow with interaction whose coefficients do not satisfy the global Lipschitz condition has a weak solution.

Saved in:

Bibliographic Details
Date:	2005
Main Authors:	Karlikova, M. P., Карликова, М. П.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 2005
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3651
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

On the Transfer of Generalized Functions by an Evolution Flow
by: Karlikova, M. P., et al.
Published: (2005)

On weak convergence of solutions of random perturbed evolution equations
by: Kolomiets, Yu. V., et al.
Published: (1995)

O переносе обобщенных функций эволюционным потоком
by: Карликова, М.П.
Published: (2005)

О слабом решении уравнения для эволюционного потока со взаимодействием
by: Карликова, М.П.
Published: (2005)

Global Weak Solutions for the Weakly Dissipative μ-Hunter–Saxton Equation
by: J. Liu
Published: (2013)

Global Weak Solutions for the Weakly Dissipative μ-Hunter–Saxton Equation
by: Liu, Jianjun, et al.
Published: (2013)

Global Weak Solutions for the Weakly Dissipative μ-Hunter–Saxton Equation
by: Liu, J.
Published: (2013)

Probabilistic weak solutions for nonlinear stochastic evolution problems involving pseudomonotone operators
by: Ali, Z. I., et al.
Published: (2022)

Probabilistic weak solutions for nonlinear stochastic evolution problems involving pseudomonotone operators
by: Z. I. Ali, et al.
Published: (2022)

Weak solutions to one initial-boundary value problem with three boundary conditions for quasilinear evolution equations of the third order
by: Faminskii, A.V., et al.
Published: (2008)

The decomposition of a solution of the quasilinear stochastic parabolic equation with weak source
by: Melnik, S.
Published: (2007)

Boundedness of weak solutions of a nondiagonal parabolic system of two equations
by: Portnyahin, D. V., et al.
Published: (2009)

Weak invariance principle for solutions of stochastic recurrence equations in a banach space
by: Koval, V. A., et al.
Published: (1995)

On the existence of initial values of solutions of weakly nonlinear parabolic equations
by: Skrypnik, I. I., et al.
Published: (1993)

An example of a stochastic differential equation with the property of weak non-uniqueness of a solution
by: Kopytko, B.I., et al.
Published: (2006)

Continuous Choreographies as Limiting Solutions of N-body Type Problems with Weak Interaction
by: Castaneira, R., et al.
Published: (2016)

Kolmogorov’s equation for the Cauchy problem’s solution of one class of linear evolutional equations
by: Mestechkina, T. M., et al.
Published: (1987)

Periodic solutions of a weakly nonlinear system of partial differential equations with pulse influence
by: Perestyuk, N. A., et al.
Published: (1997)

Boundedness of weak solutions of a nondiagonal singular parabolic system of three equations
by: Portnyagin, D. V., et al.
Published: (2006)

Boundedness of weak solutions of a nondiagonal singular parabolic system of three equations
by: Portnyagin, D.V.
Published: (2006)

Existence of a weak solution for a class of nonlinear elliptic equations on the Sierpiński gasket
by: A. K. Badajena, et al.
Published: (2022)

Existence of a weak solution for a class of nonlinear elliptic equations on the Sierpiński gasket
by: Badajena, A. K., et al.
Published: (2022)

Weak solutions and convergence of the Galerkin method for the fractional diffusion equation
by: A. L. Hulianytskyi
Published: (2015)

On random measures on spaces of trajectories and strong and weak solutions of stochastic equations
by: Dorogovtsev, A. A., et al.
Published: (2004)

Features of weakly nonlinear wave interaction
by: Buts, V.A., et al.
Published: (2019)

On time asymptotic of the solutions of transport evolution equation
by: Cheremnikh, E.V., et al.
Published: (2010)

Convergence of solutions of stochastic differential equations to the Arratia flow
by: Malovichko, T. V., et al.
Published: (2008)

Stefan problem for a weakly degenerate parabolic equation
by: Hryntsiv, N. M., et al.
Published: (2011)

One class of multidimensional stochastic differential equations having no property of weak uniqueness of a solution
by: Aryasova, O.V., et al.
Published: (2005)

Stroock–Varadhan Theorem for Flows Generated by Stochastic Differential Equations with Interaction
by: Pilipenko, A. Yu., et al.
Published: (2002)

Optimization of direct methods for the approximate solution of weakly singular integral equations
by: Urumbaev, A. N., et al.
Published: (1994)

$G$-convergence of parabolic operators and weak convergence of solutions of diffusion equations
by: Makhno, S. Ya., et al.
Published: (1993)

A note on weak convergence of the $n$-point motions of Harris flows
by: V. V. Fomichov
Published: (2016)

Lie-Backlund symmetry, reduction and solutions of nonlinear evolution equations
by: Rzeszut, W., et al.
Published: (2022)

On Stability in Time of Space Asymptotics of Solutions of Evolution Equations
by: Cheremnykh, E. V., et al.
Published: (2002)

Behavior of the impurity atom in a weakly-interacting Bose gas
by: Panochko, G., et al.
Published: (2017)

Stabilization of the solutions of a nonlocal problem multipoint in time for a class of evolution pseudodifferential equations
by: H. P. Verezhak, et al.
Published: (2017)

Evolution Equations for Cumulants of Distribution Functions of Particle Systems with Topological Interaction
by: Герасименко, Віктор, et al.
Published: (2024)

Exact Solutions of the Equations of Relativistic Hydrodynamics Representing Potential Flows
by: Borshch, M.S., et al.
Published: (2007)

Global Weak Solutions of the Navier-Stokes/Fokker-Planck/Poisson Linked Equations
by: O. Anoshchenko, et al.
Published: (2014)