Scientific Research Publishing

Read full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=52539#.VJte0cCAM4 Author(s)     Chuangye Liu 1* , Minmin Liu 2 Affiliation(s) 1 Laboratory of Nonlinear Analysis, Department of Mathematics, Central China Normal University, Wuhan, China . 2 School of Science, Wuhan Institute of Technology, Wuhan, China . ABSTRACT In present paper we prove the local well-posedness for Von Neumann-Landau wave equation by the T. Kato’s method. KEYWORDS Von Neumann-Landau Wave Equation , Strichartz Estimate , Cauchy Problem Cite this paper Liu, C. ...

Read full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=48882#.VDcr2VfHRK0 Author(s)    Yuriy Kozachenko , Anna Slyvka-Tylyshchak Affiliation(s) Department of Probability Theory, Statistics and Actuarial Mathematics, The Faculty of Mechanics and Mathematics, Taras Shevchenko National University of Kyiv, Kyiv, Ukraine . Department of Probability Theory, Statistics and Actuarial Mathematics, The Faculty of Mechanics and Mathematics, Taras Shevchenko National University of Kyiv, Kyiv, Ukraine . ABSTRACT The influence of random factors should often be taken into account in solving problems of mathematical physics. The heat equation with random factors is a classical problem of the parabolic type of mathematical phy...