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Serena Dipierro

Dr

  • The University of Western Australia (M019), 35 Stirling Highway,

    6009 Crawley

    Australia

  • 229 Citations
  • 8 h-Index
20132021
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Fractional Mathematics
Free Boundary Problem Mathematics
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Rigidity Mathematics
Minimizer Mathematics
Energy Mathematics
Minimal surface Mathematics

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Projects 2018 2021

  • 1 Not started

Partial Differential Equations, free boundaries and applications

Dipierro, S.

ARC Discovery Early Career Researcher Awards

30/11/18 → 29/11/21

Project: Research

Research Output 2013 2018

  • 229 Citations
  • 8 h-Index
  • 37 Article

(Non)local and (non)linear free boundary problems

Dipierro, S. & Valdinoci, E., 2018, In : DISCRETE & CONTINUOUS DYNAMICAL SYSTEMS. SERIES A. 11, 3, p. 465-476 12 p.

Research output: Contribution to journal › Article

Free Boundary Problem
Invariance
Electron energy levels
Superposition
Energy
2 Citations

A Simple Mathematical Model Inspired by the Purkinje Cells: From Delayed Travelling Waves to Fractional Diffusion

Dipierro, S. & Valdinoci, E., 2018, In : Bulletin of Mathematical Biology. 80, 7, p. 1849-1870 22 p.

Research output: Contribution to journal › Article

Fractional Diffusion
Purkinje Cells
Traveling Wave
Theoretical Models
mathematical models
1 Citations

A three-dimensional symmetry result for a phase transition equation in the genuinely nonlocal regime

Dipierro, S., Farina, A. & Valdinoci, E., 1 Feb 2018, In : Calculus of Variations and Partial Differential Equations. 57, 1, 15

Research output: Contribution to journal › Article

Nonlinear analysis
Phase Transition
Phase transitions
Allen-Cahn Equation
Symmetry

Classification of stable solutions for boundary value problems with nonlinear boundary conditions on Riemannian manifolds with nonnegative Ricci curvature

Dipierro, S., Pinamonti, A. & Valdinoci, E., 7 Jun 2018, In : Advances in Nonlinear Analysis.

Research output: Contribution to journal › Article

File
Nonnegative Curvature
Stable Solution
Ricci Curvature
Nonlinear Boundary Conditions
Riemannian Manifold

Local Approximation of Arbitrary Functions by Solutions of Nonlocal Equations

Dipierro, S., Savin, O. & Valdinoci, E., 11 Jun 2018, In : Journal of Geometric Analysis. p. 1-28 28 p.

Research output: Contribution to journal › Article

Nonlocal Equations
Local Approximation
Arbitrary
Linear equation
Operator