U.S.-Austria Cooperative Research: Volterra Integral        Equations and Applications
{'Code': '01090000', 'Directorate': {'Abbreviation': 'O/D', 'LongName': 'Office Of The Director'}, 'Division': {'Abbreviation': 'OISE', 'LongName': 'Office Of Internatl Science &Engineering'}}
{'SignBlockName': 'Christine French', 'PO_EMAI': None, 'PO_PHON': None}
This award will support a two-year collaborative research effort in             mathematics involving Professor Ronald C. Grimmer, Southern Illinois            University at Carbondale; Professor Richard K. Miller, Iowa State               University; Professor Wilhelm Schappacher, University of Graz, Austria;         and Dr. Wolfgang Desch, also at the University of Graz.  The                    cooperating mathematicians are studying a number of related problems            involving so-called Volterra integrodifferential equations in Banach            space.  Their research will deal with various questions concerning              control and qualitative behavior of solutions of partial differential           integral equations.  Of particular interest will be determining the             behavior of solutions which have singularities in the initial or                boundary data.  It is important to determine if these singularities             propagate and, if so, additionally to determine the behavior of these           singularities.  Included also will be the study of asymptotic behavior          of solutions especially as it is related to control problems.                                                                                                   The expected results of this research will be largely of an abstract            mathematical nature, but the work may well lead to mathematical                 techniques which are applicable to practical problems, as for example           in the study of the physical behavior of materials having both viscous          and elastic properties.  Examples of such viscoelastic media are                polymeric solids, high molecular weight polymer fluids, blood, and              fluidized coal.  Another application of the equations being studied             here is to electrodynamics.  The mathematicians collaborating in this           project have both similar and complementary strengths and interests.            They have worked together productively in the past, and this award will         permit them to continue their mutually beneficial cooperation.
{'FirstName': 'Ronald', 'LastName': 'Grimmer', 'PI_MID_INIT': 'C', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Ronald C Grimmer', 'EmailAddress': 'rgrimmer@math.siu.edu', 'NSF_ID': '000380350', 'StartDate': '03/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'Southern Illinois University at Carbondale', 'CityName': 'CARBONDALE', 'ZipCode': '629014302', 'PhoneNumber': '6184534540', 'StreetAddress': '900 S NORMAL AVE', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Illinois', 'StateCode': 'IL', 'CONGRESSDISTRICT': '12', 'CONGRESS_DISTRICT_ORG': 'IL12', 'ORG_UEI_NUM': 'Y28BEBJ4MNU7', 'ORG_LGL_BUS_NAME': 'BOARD OF TRUSTEES OF SOUTHERN ILLINOIS UNIVERSITY', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '5955', 'Text': 'AUSTRIA'}
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