Mathematical Sciences: Boltzmann-Fokker-Planck Equations:   Nonlinear Existence Studies and Supportive Linear Theory
{'Code': '03040101', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'Alan Izenman', 'PO_EMAI': None, 'PO_PHON': None}
This project has two parts.  First research will be                        completed on the existence of solutions of the nonlinear                        Boltzmann-Fokker-Planck equation and its linearization about                    equilibrium in the physically relevant Li-space setting.  Second,               the inverse scattering problem for the 3-d non-spherically                      symmetric Schrodinger equation will be considered in the form of                a Riemann-Hilbert problem. In particular, the principal                         investigator will prove the existence of a Wiener-Hopf                          factorization of its "symbol," determine the nature of the                      partial indices specifying the Fredholm properties of the                       problem, and express the solutions in terms of the factors.  In                 addition, the connection of this method to the Newton-Marchenko                 method and other alternative approaches will also be studied.//
{'FirstName': 'Cornelis', 'LastName': 'Van der Mee', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Cornelis Van der Mee', 'EmailAddress': None, 'NSF_ID': '000241683', 'StartDate': '08/01/1989', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'University of Delaware', 'CityName': 'NEWARK', 'ZipCode': '197160099', 'PhoneNumber': '3028312136', 'StreetAddress': '220 HULLIHEN HALL', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Delaware', 'StateCode': 'DE', 'CONGRESSDISTRICT': '00', 'CONGRESS_DISTRICT_ORG': 'DE00', 'ORG_UEI_NUM': 'T72NHKM259N3', 'ORG_LGL_BUS_NAME': 'UNIVERSITY OF DELAWARE', 'ORG_PRNT_UEI_NUM': 'T72NHKM259N3'}
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{'Code': '1266', 'Text': 'APPLIED MATHEMATICS'}
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1988&All=true', 'xml': '8823102.xml'}