Global solutions for semilinear rough partial differential equations
Robert Hesse, Alexandra Neamţu
Abstract
We construct global-in-time solutions for semilinear parabolic rough partial differential equations. We work on a scale of Banach spaces tailored to the controlled rough path approach and derive suitable a priori estimates of the solution which do not contain quadratic terms.
Topics & Concepts
MathematicsBanach spaceA priori and a posterioriPartial differential equationQuadratic equationMathematical analysisWork (physics)Scale (ratio)Path (computing)Applied mathematicsParabolic partial differential equationConstruct (python library)GeometryPhysicsQuantum mechanicsProgramming languagePhilosophyEngineeringEpistemologyComputer scienceMechanical engineeringStability and Controllability of Differential EquationsAdvanced Mathematical Physics ProblemsNonlinear Partial Differential Equations