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SNSMathPreprintServer-http://math.sns.it/papers/daprck03/ W eak solutionsto stochasticporousmedia
 

Summary: SNSMathPreprintServer-http://math.sns.it/papers/daprck03/
W eak solutionsto stochasticporousmedia
equations
Giuseppe Da Prato(ScuolaNormaleSuperiore,PiazzadeiCavalieri7,
56126Pisa,Italy)
MichaelR~ockner(Fakult~atf~urMathematik,Universit~atBielefeld,
Postfach 100131,D{33501Bielefeld,Germany)
Abstract.
2000 MathematicsSubjectClassiflcationAMS :76S05,35J25,37L40.
1 Introduction
The porousmedium equation
@X
@t
= (X m
); m 2 N; (1.1)
ona boundedopensetD Rd
hasbeenstudiedextensively.W ereferto[1]
forboththemathematicaltreatmentandthephysicalbackgroundandalso
to[2,Section4.3]forthegeneraltheoryofequationsofsuch type.
Inthispaperweareinterestedina stochasticversionof(1.1).Through-

  

Source: Abbondandolo, Alberto - Scuola Normale Superiore of Pisa

 

Collections: Mathematics