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Local wellposedness and global regularity results for biharmonic wave maps
This thesis is concerned with biharmonic wave maps, i.e. a bi-harmonic version of the wave maps equation, which is a Hamiltonian equation for a higher order energy functional and arises variationally from an elastic action functional for a manifold valued map.$\\[1pt]$ In the first part we present local and global results from energy estimates for biharmonic wave maps into compact, embedded target manifolds. This includes local wellposedness in high regularity and global regularity indoi:10.5445/ir/1000128147 fatcat:uoygvu3jejettm2jee4iewsboe