Acta Mathematica Vietnamica
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UNIQUENESS OF GLOBAL SEMICLASSICAL SOLUTIONS FOR SOME SYSTEMS OF FIRST-ORDER NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS
LE VAN HAPpp. 193-205
Abstract
We consider the Cauchy problem for weakly coupled systems of first-order nonlinear partial differential equations and prove some
uniqueness results of global semiclassical solutions. Our method is based on the theory of multivalued functions and of differential inclusions.