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J. Korean Math. Soc. 2004; 41(4): 647-665
Printed July 1, 2004
Copyright © The Korean Mathematical Society.
Nonlinear variational evolution inequalities with nonlocal conditions
Jin-Mun Jeong, Dong-Hwa Kim, and Jong-Yeoul Park
Pukyong National University, Kyungnam University, Pusan National University
The existence of solutions for the nonlinear functional differential equation with nonlocal conditions governed by the variational inequality is studied. The regularity and a variation of solutions of the equation are also given.
Keywords: variational evolution inequalities, nonlocal condition, existence of solutions, regularity, analytic semigroup, subdifferential operator
MSC numbers: Primary 35F25; Secondary 35K55
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