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@. Let and ?. Sc, be, respectively, viscosity sub and supersolutions of (4.28) If ?(0, x) ? ?(0, x) for x ? ?, then ? ? ? sur ]0, T [×?. ? For every function g ? C(?) there exists a unique viscosity solution ? ? C([0, T [×?) of (4.28) such that ?(0, x) = g(x) on ?, ×?) (respectively LSC([0, T [×?)) denote the set of upper semicontinuous (respectively lower semicontinuous) functions

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