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math.AP2021
Global results for a Cauchy problem related to biharmonic wave maps
Tobias Schmid
We prove global existence of a derivative bi-harmonic wave equation with a non-generic quadratic nonlinearity and small initial data in the scaling critical space $\dot{B}^{2,1}_{\…
math.AP2021★ 2 cited
Energy bounds for a fourth-order equation in low dimensions related to wave maps
Tobias Schmid
For compact, isometrically embedded Riemannian manifolds , we introduce a fourth-order version of the wave map equation. By energy estimates, we pr…