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math.AP2009
Global semigroup of conservative solutions of the nonlinear variational wave equation
Helge Holden, Xavier Raynaud
We prove the existence of a global semigroup for conservative solutions of the nonlinear variational wave equation . We allow for initial data …
math.AP2009
Operator splitting for the KdV equation
Helge Holden, Kenneth H. Karlsen, Nils Henrik Risebro +1
We provide a new analytical approach to operator splitting for equations of the type where is a linear operator and is quadratic. A particular example is the…