1. Viscosity Characterizations of Explosions and Arbitrage Wang, Yinghui 2016 Theses Business mathematicsDifferential equations, PartialViscosity solutionsHamilton-Jacobi equationsArbitrageMathematicsFinance

2. Time evolution of the Kardar-Parisi-Zhang equation Ghosal, Promit 2020 Theses MathematicsStatistical mechanicsStochastic differential equationsDifferential equations, PartialApplied mathematics

3. Study of Traveling Waves in a Nonlinear Continuum Dimer Model Li, Huaiyu 2023 Theses MathematicsTraveling-wave tubesDifferential equations, HyperbolicDifferential equations, PartialContinuum (Mathematics)

4. Probabilistic Approaches to Partial Differential Equations with Large Random Potentials Gu, Yu 2014 Theses MathematicsDifferential equations, PartialHomogenization (Differential equations)

5. Multiscaling and Machine Learning Approaches to Physics Simulation Chen, Peter Yichen 2022 Theses Computer sciencePhysics--Computer simulationMachine learning--Mathematical modelsDifferential equations, Partial

6. Local Regularity of the Complex Monge-Ampere Equation Wang, Yu 2013 Theses MathematicsMonge-Ampère equationsDifferential equations, Partial

7. Homogenization of Partial Differential Equations with Random, Large Potential Zhang, Ningyao 2013 Theses MathematicsDifferential equations, PartialHomogenization (Differential equations)

8. Computational Inversion with Wasserstein Distances and Neural Network Induced Loss Functions Ding, Wen 2022 Theses MathematicsDifferential equations, PartialDistribution (Probability theory)Deep learning (Machine learning)Neural networks (Computer science)--Mathematical models

9. Asymptotic Theory and Applications of Random Functions Li, Xiaoou 2016 Theses Monte Carlo methodDifferential equations, PartialDifferential equations, Partial--Asymptotic theoryMathematical statisticsStatistics

10. Anisotropic inverse problems with internal measurements Guo, Chenxi 2015 Theses MathematicsAnisotropyDifferential equations, PartialElectrical impedance tomography