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math.AP2018
Laplace transformation of vector-valued distributions and applications to Cauchy-Dirichlet problems
Michael Kunzinger, Eduard A. Nigsch, Norbert Ortner
We present two new proofs of the exchange theorem for the Laplace transformation of vector-valued distributions. We then derive an explicit solution to the Dirichlet problem of the…
math.AP2018★ 1 cited
Well-posedness for stochastic scalar conservation laws on Riemannian manifolds
Nikola Konatar, Darko Mitrovic, Eduard Nigsch
We consider the scalar conservation law with stochastic forcing $$ \partial_t u +\mathrm{div}_g {\mathfrak f}(\mx,u)= Φ(\mx,u) dW, \ \ {\bf x} \in M, \ \ t\geq 0 $$ on a smooth com…