2026 Luis Escauriaza: Mathematics Researcher – H-Index, Publications & Awards

Overview

Luis Escauriaza is affiliated with the University of the Basque Country in Spain and has contributed to research primarily in the fields of Mathematics, Economics, Econometrics and Finance, and Computer Science. Their work spans across several subfields including Applied Mathematics, Computational Theory and Mathematics, Finance, Economics and Econometrics, and Mathematical Physics.

The scientist's recent scholarly output includes publications in diverse venues such as arXiv (Cornell University), Journal of Evolution Equations, The Annals of Applied Probability, and Vietnam Journal of Mathematics. The following are the recent papers authored or co-authored by Luis Escauriaza:

On $$\varvec{C^{1/2,1}}$$, $$\varvec{C^{1,2}}$$, and $$\varvec{C^{0,0}}$$ estimates for linear parabolic operators, 2021, Journal of Evolution Equations
Radner equilibrium and systems of quadratic BSDEs with discontinuous generators, 2022, The Annals of Applied Probability
Radner equilibrium and systems of quadratic BSDEs with discontinuous generators, 2020, arXiv (Cornell University)
On the Kato problem for elliptic operators in non-divergence form, 2023, arXiv (Cornell University)
On the Kato Problem for Elliptic Operators in Non-Divergence Form, 2024, Vietnam Journal of Mathematics

The main topics that characterize Luis Escauriaza's research focus include advanced mathematical modeling in engineering, advanced harmonic analysis, stochastic processes and financial applications, economic theories and models, nonlinear partial differential equations, insurance, mortality, demography and risk management, and spectral theory in mathematical physics.

Advanced Mathematical Modeling in Engineering
Advanced Harmonic Analysis Research
Stochastic processes and financial applications
Economic theories and models
Nonlinear Partial Differential Equations
Insurance, Mortality, Demography, Risk Management
Spectral Theory in Mathematical Physics

The scientist has collaborated frequently with several researchers, among whom are Daniel Schwarz, Hao Xing, Pablo Hidalgo-Palencia, Steve Hofmann, and Hongjie Dong.

Daniel Schwarz
Hao Xing
Pablo Hidalgo-Palencia
Steve Hofmann
Hongjie Dong

Research contributions by Luis Escauriaza include works at the intersection of mathematical theory and financial applications, focusing particularly on systems of quadratic backward stochastic differential equations (BSDEs) and elliptic operators in non-divergence form. This indicates a multidisciplinary approach, combining aspects of applied mathematics, finance, and computational theory.

Best Publications

L3,∞-solutions of the Navier-Stokes equations and backward uniqueness

L Escauriaza;G A Seregin;Vladimir Sverak

702
Citations
Backward Uniqueness for Parabolic Equations

L. Escauriaza;G. Seregin;V. Šverák

248
Citations
On a regularity theorem for weak solutions to transmission problems with internal Lipschitz boundaries

L. Escauriaza;E. B. Fabes;G. Verchota

147
Citations
$L_{3,\infty}$-решения уравнений Навье - Стокса и обратная единственность@@@$L_{3,\infty}$-solutions of the Navier - Stokes equations and backward uniqueness

Л Искауриаза;Luis Escauriaza;Григорий Александрович Серeгин;Grigorii Aleksandrovich Seregin

146
Citations
Observability inequalities and measurable sets

Jone Apraiz;Luis Escauriaza;Gengsheng Wang;C. Zhang

138
Citations
Unique continuation for parabolic operators

Luis Escauriaza;Francisco Javier Fernández

127
Citations
Doubling properties of caloric functions

L. Escauriaza;F. J. Fernández;S. Vessella

111
Citations
C1,? domains and unique continuation at the boundary

Vilhelm Adolfsson;Luis Escauriaza

110
Citations
On Uniqueness Properties of Solutions of Schrödinger Equations

L. Escauriaza;C. E. Kenig;G. Ponce;L. Vega

107
Citations
On uniqueness properties of solutions of the k-generalized KdV equations

Luis Escauriaza;Carlos E. Kenig;Gustavo Ponce;Luis Vega

106
Citations
Hardy's uncertainty principle, convexity and Schrödinger evolutions

Luis Escauriaza;Carlos E. Kenig;Gustavo Ponce;Luis Vega

89
Citations
Carleman inequalities and the heat operator

Luis Escauriaza

82
Citations
Convex domains and unique continuation at the boundary

Vilhelm Adolfsson;Luis Escauriaza;Carlos E. Kenig

79
Citations
Bounds for the fundamental solutions of elliptic and parabolic equations

Luis Escauriaza

75
Citations
BACKWARD UNIQUENESS FOR THE HEAT OPERATOR IN A HALF-SPACE

L. Escauriaza;G. Seregin;V. Šverák

75
Citations
Carleman inequalities and the heat operator II

Luis Escauriaza;Luis Vega

75
Citations
Null-controllability of one-dimensional parabolic equations

Giovanni Alessandrini;Luis Escauriaza

73
Citations
Regularity properties of solutions to transmission problems

Luis Escauriaza;Luis Escauriaza;Jin Keun Seo

72
Citations
The sharp Hardy uncertainty principle for Schrödinger evolutions

Luis Escauriaza;Carlos E. Kenig;Gustavo Ponce;Luis Vega

71
Citations
Hardy's Uncertainty Principle, Convexity and Schr"odinger Evolutions

L. Escauriaza;C. E. Kenig;G. Ponce;L. Vega

0
Citations

Frequent Co-Authors

Carlos E. Kenig University of Chicago

Luis Vega University of the Basque Country

Gustavo Ponce University of California, Santa Barbara

Eugene B. Fabes University of Minnesota

Hongjie Dong Brown University

Gregory Seregin University of Oxford

Steve Hofmann University of Missouri

Michael Cowling University of New South Wales

Vladimír Šverák University of Minnesota

Jin Keun Seo Yonsei University

External Links

Personal website of Luis Escauriaza

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