Nonlocal Diffusion Problems
By F. Andreu-Vaillo, José M. Mazón, Julio D. Rossi, J. J. Toledo-Melero. 2010
343 citations recorded by the source corpus.
Subfields: Applied Mathematics, Computational Theory and Mathematics, Modeling and Simulation
View Paper: https://www.semanticscholar.org/paper/ddfca9817a1c858578fe6c567b394e8132036cb7
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
- Mikko Salo
- Gunther Uhlmann
- Julio D. Rossi
- Jesse Railo
- Keijo Monkkonen
- Giovanni Covi
- Julián Toledo
- Tuhin Ghosh
In Computational Theory and Mathematics
- Mikko Salo
- Julio D. Rossi
- Tadele Mengesha
- Gunther Uhlmann
- Qiang Du
- Julián Toledo
- Jesse Railo
- Keijo Monkkonen
In Modeling and Simulation
- Tadele Mengesha
- Qiang Du
- Julio D. Rossi
- Julián Toledo
- Jesse Railo
- Max D. Gunzburger
- Kun Zhou
- Gunther Uhlmann
Citations in the corpus
- Unique continuation property and Poincaré inequality for higher order fractional Laplacians with applications in inverse problems (2020, methodology): “Fractional Laplacians have a close connection to Levý processes and have been used in many areas of mathematics and physics, for example to model anomalous and nonlocal diffusion, and also in the formulation of fractional quantum mechanics where the fractional Schrödinger equation arises naturally a”
- Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints (2012, methodology): “Examples for this case are provided by the kernels used in [2, 3, 4].”
- Fractional p-Laplacian evolution equations (2016, background): “See [17] and [7] for definitions and results from such theory (or the Appendix in [5] for a detailed overview).”
- The Calderón problem for the fractional Schrödinger equation (2016, methodology): “Finally, we will give a heuristic interpretation of the quantity Λqf(x) in terms of nonlocal diffusions [AMRT10].”
- Analysis of the Volume-Constrained Peridynamic Navier Equation of Linear Elasticity (2013, background): “Previous work has focused on the well-posedness of the bond-based model introduced in [17]; see [4, 11, 12, 15] when the deformation is vector-valued and [2, 3, 5, 6, 10, 14, 16] when the deformation is scalar-valued or the related case of nonlocal diffusion.”
- Recent progress in the theory of Nonlinear Diffusion with Fractional Laplacian Operators (2014, neutral): “Finally, we have not discussed the nonlocal diffusion evolution model treated in the monograph [5] which”
- NONLOCAL KORN-TYPE CHARACTERIZATION OF SOBOLEV VECTOR FIELDS (2012, result): “Similar results on other time-dependent nonlocal problems can be found in [4].”