Juan Carlos Sampedro Pascual
Assistant Professor
Department of Applied Mathematics to Industrial Engineering
School of Engineering and Industrial Design
Universidad Politécnica de Madrid
Nonlinear Elliptic and Parabolic Equations UCM-GR17-970846
Bio
Assistant Professor at the School of Industrial Engineering and Design, Universidad Politécnica de Madrid (UPM), since 2023. International PhD in Mathematics in 2022. Member of the research group Nonlinear Elliptic and Parabolic Equations at UCM and Linear and Non-Linear Waves at BCAM. Visiting researcher at several international universities: Università degli Studi di Udine (2022), Politecnico di Torino (2022), University of Swansea (2022), Università degli Studi di Palermo (2023).
Research interests
My research interests are divided into two themes. On the one hand, in the field of Nonlinear Analysis, I focus on Topological Degree Theory, Bifurcation Theory and its applications to Nonlinear Elliptic and Parabolic Partial Differential Equations. On the other hand, in the field of Real and Harmonic Analysis, I specialize in Measures on Infinite Dimensional Spaces, Projective Limits of Probability Measures, Path Integrals and their connections with Constructive Quantum Field Theory.
Latest Publications
- J. C. Sampedro. On the Lp-Spaces of Projective Limits of Probability Measures. Journal of Theoretical Probability. DOI: 10.1007/s10959-024-01329-1.
- J. C. Sampedro. On the colimits of certain Sobolev spaces. Journal of Mathematical Analysis and Applications, 535 (2). 2024. DOI: 10.1016/j.jmaa.2024.128141.
- J. C. Sampedro. Existence of Infinite Product Measures. Real Analysis Exchange, 48(2), 271-284, (2023). https://doi.org/10.14321/realanalexch.48.2.1643257005
- López-Gómez and J. C. Sampedro, Orientability through the algebraic multiplicity. Journal of Fixed Point Theory Applications.2023, 25, Art. Number: 60. https://doi.org/10.1007/s11784-023-01062-y
- G. Feltrin, J. C. Sampedro, F. Zanolin. Periodic solutions to superlinear indefinite planar systems: A topological degree approach. Journal of Differential Equations, 2023, 363, 5. https://doi.org/10.1016/j.jde.2023.03.042
- J. L. Gómez, J. C. Sampedro. Generating loops and isolas in semilinear elliptic BVP's. Nonlinear Analysis, volumen 232, 2023, 113268, ISSN 0362-546X. https://doi.org/10.1016/j.na.2023.113268
- J. C. Sampedro. Approximation Schemes for Path Integration on Riemannian Manifolds. Journal of Mathematical Analysis and Applications. 2022, 512, 2, Article number 126176. https://doi.org/10.1016/j.jmaa.2022.126176
- J. López-Gómez, J. C. Sampedro. Axiomatization of the degree of Fitzpatrick, Pejsachowicz and Rabier. Journal of Fixed Point Theory and Applications. 2022, 24, 1, Article number 8. https://doi.org/10.1007/s11784-021-00916-7
- J. López-Gómez, J. C. Sampedro. New analytical and geometrical aspects of the algebraic multiplicity. Journal of Mathematical Analysis and Applications. 2021, 504, 1, 125375. https://doi.org/10.1016/j.jmaa.2021.125375
- J. López-Gómez, J. C. Sampedro. Global Perturbation of Nonlinear Eigenvalues. Advanced Nonlinear Studies. 2021, https://doi.org/10.1515/ans-2021-2127
- J. López-Gómez, J. C. Sampedro. Algebraic multiplicity and topological degree for Fredholm operators. Nonlinear Analysis. 2020, 201, 112019. https://doi.org/10.1016/j.na.2020.112019