6533b823fe1ef96bd127eb7e

RESEARCH PRODUCT

Regularity of solutions to differential equations with non-Lipschitz coefficients

Dejun LuoDejun Luo

subject

Mathematics(all)Hölder continuousGeneral MathematicsMathematical analysisHausdorff dimensionNon-Lipschitz conditionMethod of undetermined coefficientsExamples of differential equationsStochastic partial differential equationDifferential equationCollocation methodC0-semigroupDifferential algebraic equationMathematicsSeparable partial differential equationNumerical partial differential equations

description

AbstractWe study the ordinary and stochastic differential equations whose coefficients satisfy certain non-Lipschitz conditions, namely, we study the behaviors of small subsets under the flows generated by these equations.

https://doi.org/10.1016/j.bulsci.2007.05.003