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Jørgen Endal


Photo © Kristine Graneng (2017)
Associate professor // Førsteamanuensis

Upcoming events
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Contact
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Email: jorgen (dot) endal (at) ntnu (dot) no
Office: Room 1152, SBII, Alfred Getz vei 1, Gløshaugen, Trondheim
Address: Department of Mathematical Sciences, NTNU, NO-7491 Trondheim

CV
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CV (not updated). See also ORCID.

Affiliation
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Department of Mathematical Sciences

Research
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Nonlinear (integro-)partial differential equations.
Common features:
local or nonlocal (anomalous/Lévy type) diffusion, nonlinear convection and/or diffusion
Main equations of interest:
scalar conservation laws, convection-diffusion equations, diffusion equations of porous medium type, Hamilton-Jacobi-Bellman equations
Concept of solutions:
distributional/very weak solutions, energy solutions, entropy solutions, viscosity solutions
Mathematical properties studied:
regularity, asymptotic behaviour, well-posedness, stability, continuous dependence, approximation

Publications
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Click to see submitted for publication/pending publication (sorted by date):
  [3]  F. del Teso, J. Endal, Espen R. Jakobsen, and J. L. Vázquez.
Evolution driven by the infinity fractional Laplacian.
Submitted, 2022.
[arXiv]    [journal]
  [2]  J. Endal, L. I. Ignat, and F. Quirós.
Large-time behaviour for anisotropic stable nonlocal diffusion problems with convection.
Submitted, 2022.
[arXiv]    [journal]
  [1]  N. Alibaud, J. Endal, and E. R. Jakobsen.
Optimal and dual stability results for L1 viscosity and L entropy solutions.
Preprint, 2018.
[arXiv]    [journal]

Click to see publications in refereed journals (sorted by date):
  [11]  M. Bonforte and J. Endal.
Nonlocal nonlinear diffusion equations. Smoothing effects, Green functions, and functional inequalities.
J. Funct. Anal., 284(6):109831, 2023.
[arXiv]    [journal]
  [10]  F. del Teso, J. Endal, and E. R. Jakobsen.
Uniform tail estimates and Lp(RN)-convergence for finite-difference approximations of nonlinear diffusion equations.
Discrete Contin. Dyn. Syst., 43(3&4):1319–1346, 2023.
[arXiv]    [journal]
  [9]  F. del Teso, J. Endal, and M. Lewicka.
On asymptotic expansions for the fractional infinity Laplacian.
Asymptot. Anal., 127(3):201–216, 2022.
[arXiv]    [journal]
  [8]  F. del Teso, J. Endal, and J. L. Vázquez.
The one-phase fractional Stefan problem.
Math. Models Methods Appl. Sci., 31(1):83–131, 2021.
[arXiv]    [journal]
  [7]  N. Alibaud, F. del Teso, J. Endal, and E. R. Jakobsen.
The Liouville theorem and linear operators satisfying the maximum principle.
J. Math. Pures Appl. (9), 142:229–242, 2020.
[arXiv]    [journal]
  [6]  F. del Teso, J. Endal, and J. L. Vázquez.
On the two-phase fractional Stefan problem.
Adv. Nonlinear Stud., 20(2):437–458, 2020.
[arXiv]    [journal]
  [5]  F. del Teso, J. Endal, and E. R. Jakobsen.
Robust numerical methods for nonlocal (and local) equations of porous medium type. Part I: Theory.
SIAM J. Numer. Anal., 57(5):2266–2299, 2019.
[arXiv]    [journal]
  [4]  F. del Teso, J. Endal, and E. R. Jakobsen.
Robust numerical methods for nonlocal (and local) equations of porous medium type. Part II: Schemes and experiments.
SIAM J. Numer. Anal., 56(6):3611–3647, 2018.
[arXiv]    [journal]
  [3]  F. del Teso, J. Endal, and E. R. Jakobsen.
On distributional solutions of local and nonlocal problems of porous medium type.
C. R. Acad. Sci. Paris, Ser. I, 355(11):1154–1160, 2017.
[arXiv]    [journal]
  [2]  F. del Teso, J. Endal, and E. R. Jakobsen.
Uniqueness and properties of distributional solutions of nonlocal equations of porous medium type.
Adv. Math., 305:78–143, 2017.
[arXiv]    [journal]
  [1]  J. Endal and E. R. Jakobsen.
L1 Contraction for Bounded (Nonintegrable) Solutions of Degenerate Parabolic Equations.
SIAM J. Math. Anal., 46(6):3957–3982, 2014.
[arXiv]    [journal]

Click to see publications in refereed conference proceedings (sorted by date):
  [1]  F. del Teso, J. Endal, and E. R. Jakobsen.
On the well-posedness of solutions with finite energy for nonlocal equations of porous medium type.
In Non-Linear Partial Differential Equations, Mathematical Physics, and Stochastic Analysis, EMS Ser. Congr. Rep., pages 129–168. Eur. Math. Soc., Zürich, 2018.
[arXiv]    [journal]

Click to see unpublished preprints (sorted by date):
  [1]  N. Alibaud, F. del Teso, J. Endal, and E. R. Jakobsen.
Characterization of nonlocal diffusion operators satisfying the Liouville theorem. Irrational numbers and subgroups of Rd.
Preprint, 2018.
[arXiv]    [journal]

See also arXiv, Google Scholar, or Research Gate.

Grants & Awards
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  • Top-up financing of outgoing MSCA fellows for 24 months starting September 1 2020.
    Funded by Research Council of Norway.
  • Marie Skłodowska-Curie ActionsIndividual Fellowship (H2020-MSCA-IF-2018) for 24 months starting September 1 2020.
    Funded by European Union's Horizon 2020 Research and Innovation Programme.
    Click for more info: Project title: Novel techniques for quantitative behaviour of convection-diffusion equations (techFRONT). Understanding natural processes through partial differential equations.
    Description: Physical laws are mathematically encoded into Partial Differential Equations (PDEs). They tell us how certain quantities – like heat, water, or cars – depend on position and time. Precise information on the fundamental processes of the natural world is based to a large extent on PDEs; in turn, these processes will hint at solutions to mathematical problems. The EU-funded techFRONT project will study fine properties of irregular solutions of certain PDEs. Project research will seek to answer if initially irregular solutions become regular after some time, and if the PDEs are well-posed for growing (large) initial data. It will also investigate how solutions behave in the most quantitative way, by using explicit barriers or by understanding the long-time behaviour of the PDEs.
  • FRINATEK Personal Overseas Research Grant for 6 months in 2019.
    Funded by Research Council of Norway.
  • The Dimitris N. Chorafas Foundation Award (nominated by NTNU in 2018).
    Click for more info: The Dimitris N. Chorafas Foundation awards scientific prizes for outstanding work in selected fields in the engineering sciences, medicine and the natural sciences. It rewards research characterized by its high potential for practical application and by the special significance attached to its aftermath. Every year, partner universities in Europe, North America and Asia evaluate the research work of their graduating doctorate students and propose the best for prizing.
  • Fellowship grant for 1.5 months in 2016 as part of the research programme Interactions between Partial Differential Equations & Functional Inequalities.
    Institut Mittag-Leffler (IML), Stockholm, Sweden.
Theses
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Research stays
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  • Spring 2022 (May 23–February 27): Université de Tours (UnivTours), Tours, France. Research stay for 1 week (invited by Boris Andreianov).
  • Spring 2022 (May 17–February 22): Université Paris Dauphine (Dauphine), Paris, France. Research stay for 1 week (invited by Jean Dolbeault).
Click to see 2014–2021:

  • Spring 2020 (February 23–February 28): Universidad Complutense de Madrid (UCM), Madrid, Spain. Research stay for 1 week (invited by Félix del Teso).
  • Fall 2019 (September 15–September 20): Université de Tours (UnivTours), Tours, France. Research stay for 1 week (invited by Boris Andreianov).
  • Spring 2019 (February 4–February 12): Basque Center for Applied Mathematics (BCAM), Bilbao, Spain. Research stay for 1.5 weeks (invited by Félix del Teso).
  • Spring 2019 (January 8–June 30): Universidad Autónoma de Madrid (UAM), Madrid, Spain. Research stay for 6 months (invited by Matteo Bonforte).
  • Spring 2018 (June 30–July 7): University of Pittsburgh (Pitt), Pittsburgh, Pennsylvania, US. Research stay for 1 week (invited by Marta Lewicka).
  • Spring 2018 (May 03–May 12): Université de Bourgogne Franche-Comté (UBFC), Besançon, France. Research stay for 1.5 weeks (invited by Nathaël Alibaud).
  • Spring 2018 (March 19–March 23): Universidad Autónoma de Madrid (UAM), Madrid, Spain. Research stay for 1 week (invited by Matteo Bonforte).
  • Fall 2016 (November 06–December 16): Institut Mittag-Leffler (IML), Stockholm, Sweden. Fellowship grant for 1.5 months as part of the research programme Interactions between Partial Differential Equations & Functional Inequalities.
  • Spring 2016 (February 01–June 26): Université de Bourgogne Franche-Comté (UBFC), Besançon, France. Research stay for 5 months (invited by Nathaël Alibaud).
  • Fall 2015 (September 01–December 18): École Normale Supérieure (ENS), Paris, France. Research stay for 4 months (invited by Cyril Imbert).

Talks & Posters
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Click to see 2014–2020:

Conferences & Workshops
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Click to see 2014–2020:

Organized events
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Teaching
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Spring 2023: Lecturer MA1103 (Vector Calculus).

Click to see previous teaching:

For students
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Bachelor-, prosjekt- og masteroppgaver

Miscellaneous
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  • Notes on different solution concepts for scalar conservation laws. (Disclaimer: Contains known and unknown errors.)
  • Picture of nonlinear phenomena (photo © Emil Sollie / Red Bull Content Pool (2016)).
  • Appearance in local newspaper.


Updated January 2023
Copyright © Jørgen Endal 2023
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