DAVID
GÓMEZ CASTRO
Profesor ayudante doctor
![Foto de DAVID](/img/nophoto.png)
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University of Oxford
Oxford, Reino UnidoPublicacions en col·laboració amb investigadors/es de University of Oxford (11)
2024
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A finite-volume scheme for fractional diffusion on bounded domains
European Journal of Applied Mathematics
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Interpreting systems of continuity equations in spaces of probability measures through PDE duality
Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas, Vol. 118, Núm. 3
2023
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Asymptotic Simplification of Aggregation-Diffusion Equations Towards the Heat kernel
Archive for Rational Mechanics and Analysis, Vol. 247, Núm. 1
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FOREWORD
Discrete and Continuous Dynamical Systems- Series A
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Singular boundary behaviour and large solutions for fractional elliptic equations
Journal of the London Mathematical Society, Vol. 107, Núm. 2, pp. 568-615
2022
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A fast regularisation of a Newtonian vortex equation
Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire, Vol. 39, Núm. 3, pp. 705-747
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Infinite-time concentration in aggregation–diffusion equations with a given potential
Journal des Mathematiques Pures et Appliquees, Vol. 157, pp. 346-398
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Singular solutions for fractional parabolic boundary value problems
Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas, Vol. 116, Núm. 4
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Vortex formation for a non-local interaction model with Newtonian repulsion and superlinear mobility
Advances in Nonlinear Analysis, Vol. 11, Núm. 1, pp. 937-967
2021
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Characterisation of homogeneous fractional Sobolev spaces
Calculus of Variations and Partial Differential Equations, Vol. 60, Núm. 2
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Three representations of the fractional p-Laplacian: Semigroup, extension and Balakrishnan formulas
Fractional Calculus and Applied Analysis, Vol. 24, Núm. 4, pp. 966-1002