Mariapia De Rosa

ORCID: 0009-0003-1879-8313
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Research Areas
  • Model Reduction and Neural Networks
  • Nonlinear Partial Differential Equations
  • Advanced Mathematical Modeling in Engineering
  • Context-Aware Activity Recognition Systems
  • Neural Networks and Applications
  • Advanced Numerical Methods in Computational Mathematics
  • Time Series Analysis and Forecasting
  • Plant Water Relations and Carbon Dynamics
  • Contact Mechanics and Variational Inequalities
  • IoT and Edge/Fog Computing
  • Neural Networks and Reservoir Computing
  • Probabilistic and Robust Engineering Design
  • Soil and Unsaturated Flow
  • Nuclear Engineering Thermal-Hydraulics

University of Naples Federico II
2022-2024

Abstract Nowadays, in the Scientific Machine Learning (SML) research field, traditional machine learning (ML) tools and scientific computing approaches are fruitfully intersected for solving problems modelled by Partial Differential Equations (PDEs) science engineering applications. Challenging SML methodologies new computational paradigms named Physics-Informed Neural Networks (PINNs). PINN has revolutionized classical adoption of ML computing, representing a novel class promising...

10.1186/s40323-022-00219-7 article EN cc-by Advanced Modeling and Simulation in Engineering Sciences 2022-05-25

Abstract We prove the local boundedness for solutions to a class of obstacle problems with non-standard growth conditions. The novelty here is that we are able establish under sharp bound on gap between exponents.

10.1007/s10957-022-02084-1 article EN cc-by Journal of Optimization Theory and Applications 2022-09-16

We prove the local boundedness for solutions to a class of obstacle problems with non-standard growth conditions. The novelty here is that we are able establish under sharp bound on gap between exponents.

10.48550/arxiv.2202.13102 preprint EN other-oa arXiv (Cornell University) 2022-01-01
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