Jeffrey Rauch's homepage - University of Michigan
Office: 4834 East Hall Office Phone: (734) 936 0003 Fax: (734) 763 0937 Title: Professor email: [email protected]. homepage: http://www.math.lsa.umich.edu/~rauch
Course Materials of Professor Jeffrey RAUCH - University of …
J. Rauch, Symmetric Positive Systems with Boundary Characteristic of Constant Multiplicity, TAMS 1985
Jeffrey Rauch's Research - University of Michigan
Jeffrey Rauch's Research Research Interests - Partial Differential Equations - Applied Mathematics
Je rey RAUCH Professor of Mathematics Department of Mathematics University of Michigan Ann Arbor, Michigan 48109-1003 USA O ce: 4834 East Hall (734)-936-0003 (734)-764-0337 (secretary) Email: [email protected] Home page: http://www.math.lsa.umich.edu/~rauch Fax: (734)-763-0937 BIOGRAPHICAL INFORMATION Personal Year of birth: 1945 Family status ...
JEFFREY RAUCH Department of Mathematics University of Michigan Ann Arbor, Michigan 48104 INTRODUCTION The three lectures presented here have several goals. For emphasis we list them. (I) It is often remarked that one of the justifications for proving existence and uniqueness theorems in partial differential equations is that the methods and ideas
Jeffrey Rauch's Course Materials - University of Michigan
2010年1月13日 · Jeffrey Rauch's Course Materials The Wave Equation and Geometric Optics Universite de Paris 13, January, 2010. Outline. Course notes. Additional problems . Math 555. Applied Complex Analysis Fall 2009 Course information. Fall 2009 Daily Schedule. Fall 2009 Homework Assignments. Old Exams.
math department administration - University of Michigan
2008-present: Melvin Hochster: 2005-08: Anthony Bloch : 2002-05: Trevor Wooley : 2001-02: Alejandro Uribe : 1998-2001: Alan Taylor : 1997-98: Jeffrey Rauch : 1994-97
Email: [email protected] Abstract. We study the homogenization and singular perturbation of the wave equation in a periodic media for long times of the order of the inverse of the period. We consider inital data that are Bloch wave packets, i.e., that are the product of a fast oscillating Bloch wave and of a smooth envelope function.
FERRUCCIO COLOMBINI, GIANLUCA CRIPPA, AND JEFFREY RAUCH Abstract. We prove uniqueness for two dimensional transport across a noncharacteristic curve, under the hypothesis that the vector eld is autonomous, bounded and with bounded divergence. We also obtain uniqueness for the Cauchy problem in R t 2R x under an additional
JEFFREY RAUCH University of Michigan Abstract We prove the existence of smooth positive potentials V.t;x/;periodic in time and with compact support in x, for which the Cauchy problem for the wave equation utt †xuC V.t;x/uD 0has solutions with exponentially growing global and local energy. Moreover, we show that there are resonances, ´2 C,