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      W^{1,p}-solutions of the transport equation by stochastic perturbation

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          Abstract

          We consider the stochastic transport equation with a possibly unbounded H\"older continuous vector field. Well-posedness is proved, namely, we show existence, uniqueness and strong stability of W^{1,p}-weak solutions.

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          Ordinary differential equations, transport theory and Sobolev spaces

          R. DiPerna, P. -L. Lions (1989)
          Article 0 comments Cited 359 times – based on 0 reviews     Review now
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            Transport equation and Cauchy problem for BV vector fields

            Luigi Ambrosio (2004)
            Article 0 comments Cited 138 times – based on 0 reviews     Review now
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              Hyperbolic Conservation Laws in Continuum Physics

              Constantine Dafermos (2010)
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                Author and article information

                Journal
                Publication date Created: 30 June 2018
                Article
                ArXiV ID: 1807.00266
                SO-VID: 2eea1352-9ff9-439a-b350-7c37c89b8db9
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                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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                Categories math.AP

                ScienceOpen disciplines: Analysis
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                ScienceOpen disciplines: Analysis

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