Existence and uniqueness of solutions are established for nonlinear evolution equations with non-Lipschitz perturbations governed by m-accretive operators, along with convergence of successive approximations.
A note on uniqueness for parabolic problems with discontinuous nonlinearities, Nonlinear Analysis: Theory, Methods & Applications,16(11) (1991), 1053-1056
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Nonlinear evolution equations with a non-Lipschitz perturbation: convergence of successive approximations and uniqueness of solutions
Existence and uniqueness of solutions are established for nonlinear evolution equations with non-Lipschitz perturbations governed by m-accretive operators, along with convergence of successive approximations.