Tulkka

Short summary:

1. Maxwell system: Existence of solution
2. Euler equation with axis-symmetric solution, Method: convex integation
3. Trace operator, generalized method from divergence measure field theory, BV_A^1 space, $f \in L^1$, BV, $A$ homogeneous differential operator, $Au$ Radon measure, R ellpicity, C ellpicity equivalence to existence of such trace.
4. Phase field model, COV, gamma convergence for image segmentation, Fast marching alogrithm, not connected set, coarea formula