279 citations · 1.4k across the 39 of their papers we have counts for
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math.AP2019★ 3 cited
The Zakharov system in dimension
Timothy Candy, Sebastian Herr, Kenji Nakanishi
The sharp range of Sobolev spaces is determined in which the Cauchy problem for the classical Zakharov system is well-posed, which includes existence of solutions, uniqueness, pers…
math.AP2019★ 4 cited
Biharmonic wave maps: Local wellposedness in high regularity
Sebastian Herr, Tobias Lamm, Tobias Schmid +1
We show the local wellposedness of biharmonic wave maps with initial data of sufficiently high Sobolev regularity and a blow-up criterion in the sup-norm of the gradient of the sol…