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- Centre National de la Recherche ScientifiqueFR214 papers
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12 papers · 2 filters
Well-posedness of nonlinear diffusion equations with nonlinear, conservative noise
Benjamin Fehrman, Benjamin Gess
We prove the pathwise well-posedness of stochastic porous media and fast diffusion equations driven by nonlinear, conservative noise. As a consequence, the generation of a random d…
On the existence of periodic solutions to the modified Korteweg-de Vries equation below
Robert Schippa
Existence and a priori estimates for real-valued periodic solutions to the modified Korteweg-de Vries equation with initial data in are established for . The short-time…
On the Majorana condition for nonlinear Dirac systems
Timothy Candy, Sebastian Herr
For arbitrarily large initial data in an open set defined by an approximate Majorana condition, global existence and scattering results for solutions to the Dirac equation with Sol…
Conditional large data scattering results for the Dirac-Klein-Gordon system
Timothy Candy, Sebastian Herr
We obtain conditional results on the global existence and scattering for large solutions of the Dirac-Klein-Gordon system in critical spaces in dimension . In particular, for…
Quasi-Linear (Stochastic) Partial Differential Equations with Time-Fractional Derivatives
Wei Liu, Michael Röckner, José Luís da Silva
In this paper we develop a method to solve evolution equations on Gelfand triples with time-fractional derivative based on monotonicity techniques. Applications include determinist…
Quadratic forms and Sobolev spaces of fractional order
Kai-Uwe Bux, Moritz Kassmann, Tim Schulze
We study quadratic functionals on that generate seminorms in the fractional Sobolev space for . The functionals under considerati…