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Prescribing the Maslov form of Lagrangian graphs
We formulate and apply a modified Lagrangian mean curvature flow to prescribe the Maslov form of a Lagrangian graph in flat cotangent bundles. We prove longtime existence results based on a new energy estimate. In addition we derive miscellaneous results both for the Lagrangian mean curvature flow and the modified flow. Examples and counterexamples are given.