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Serena Dipierro

Dr

 https://orcid.org/0000-0003-4386-4485

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

    6009 Perth

    Australia

  • 434 Citations
  • 11 h-Index
20112021
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Personal profile

Biography

Serena Dipierro took her PhD in Mathematical Analysis at the International School for Advanced Studies (SISSA, Trieste) in 2012. After PostDoc positions at the Universidad de Chile and University of Edinburgh, and a Humboldt Fellowship, she held permanent positions at the University of Melbourne and the Università di Milano. Since August 2018, she is Associate Professor at the University of Western Australia.

Research interests

Serena's research focuses on partial differential equations, free boundary problems, nonlocal equations, calculus of variations, nonlinear analysis, and applications.

Fingerprint Dive into the research topics where Serena Dipierro is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

  • 1 Similar Profiles
Fractional Mathematics
Free Boundary Problem Mathematics
Nonlocal Equations Mathematics
Perimeter Mathematics
Minimizer Mathematics
Rigidity Mathematics
Energy Mathematics
Dirichlet Mathematics

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Research Output 2013 2019

  • 434 Citations
  • 11 h-Index
  • 47 Article
  • 1 Conference paper
2 Citations (Scopus)

Decay estimates for evolutionary equations with fractional time-diffusion

Dipierro, S., Valdinoci, E. & Vespri, V., 1 Jun 2019, In : Journal of Evolution Equations. 19, 2, p. 435-462 28 p.

Research output: Contribution to journal › Article

Decay Estimates
Fractional
Nonlocal Diffusion
Nonlocal Equations
Diffusion equation
1 Citation (Scopus)

Definition of fractional Laplacian for functions with polynomial growth

Dipierro, S., Savin, O. & Valdinoci, E., 1 Jan 2019, In : Revista Matematica Iberoamericana. 35, 4, p. 1079-1122 44 p.

Research output: Contribution to journal › Article

Fractional Laplacian
Polynomial Growth
Schauder Estimates
Infinity
Seminorm
43 Downloads (Pure)

Heteroclinic connections for nonlocal equations

Dipierro, S., Patrizi, S. & Valdinoci, E., 26 Nov 2019, In : Mathematical Models and Methods in Applied Sciences. 1950055.

Research output: Contribution to journal › Article

File
Heteroclinic Connection
Nonlocal Equations
Integrodifferential equations
Dislocations (crystals)
Orbits

Limit behaviour of a singular perturbation problem for the Biharmonic operator

Dipierro, S., Karakhanyan, A. L. & Valdinoci, E., 25 Jul 2019, In : Applied Mathematics and Optimization. p. 1-35

Research output: Contribution to journal › Article

Biharmonic Operator
Limit Behavior
Singular Perturbation Problems
Monotonicity Formula
Biharmonic

Minimizers of the p-oscillation functional

Cesaroni, A., Dipierro, S., Novaga, M. & Valdinoci, E., Jun 2019, In : Discrete and Continuous Dynamical Systems- Series A. 39, 12, p. 6785-6799 15 p.

Research output: Contribution to journal › Article

Minimizer
Oscillation
Compact Perturbation
Total Variation
Dirichlet Problem

Projects 2011 2021

Partial Differential Equations, free boundaries and applications

Dipierro, S.

Australian Research Council

30/11/18 → 29/11/21

Project: Research

Nonlocal Equations at Work

Dipierro, S. & Valdinoci, E.

Australian Research Council

1/11/11 → 31/12/19

Project: Research