A strong uniqueness theorem for planar vector fields |
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| Authors: | S. Berhanu J. Hounie |
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| Affiliation: | (1) Department of Mathematics, Temple University, 19122-6094 Philadelphia, PA, USA;(2) Departamento de Matemática, UFSCar, 13565-905 São Carlos, SP, Brasil |
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| Abstract: | This work establishes a strong uniqueness property for a class of planar locally integrable vector fields. A result on pointwise convergence to the boundary value is also proved for bounded solutions.Dedicated to Constantine Dafermos on his 60th birthdayWork supported in part by CNPq, FINEP, FAPESP and a Research Incentive Fund grant of Temple University. |
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| Keywords: | weak boundary values locally integrable vector fields uniqueness in the Cauchy problem |
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