Parabolic Equations with Irregular Data and Related Issues : Applications to Stochastic Differential Equations
著者
書誌事項
Parabolic Equations with Irregular Data and Related Issues : Applications to Stochastic Differential Equations
(De Gruyter series in applied and numerical mathematics / Rémi Abgrall...[et al.], 4)
De Gruyter, c2019
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注記
Includes bibliographical references (p. [137]-141) and index
内容説明・目次
内容説明
This book studies the existence and uniqueness of solutions to parabolic-type equations with irregular coefficients and/or initial conditions. It elaborates on the DiPerna-Lions theory of renormalized solutions to linear transport equations and related equations, and also examines the connection between the results on the partial differential equation and the well-posedness of the underlying stochastic/ordinary differential equation.
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