World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
46
Citations
6921
World Ranking
1390
National Ranking
20

Engineering and Technology

D-Index
46
Citations
6904
World Ranking
5253
National Ranking
121

Overview

Eduardo Casas is affiliated with the University of Cantabria in Spain and works primarily in the fields of Mathematics, Engineering, and Computer Science. Their research focus encompasses significant areas within these disciplines, with notable contributions to Computational Theory and Mathematics, Applied Mathematics, Control and Systems Engineering, Numerical Analysis, and Computational Mechanics.

The main topics covered in their work include:

  • Stability and Controllability of Differential Equations
  • Advanced Mathematical Modeling in Engineering
  • Advanced Numerical Methods in Computational Mathematics
  • Nonlinear Partial Differential Equations
  • Optimization and Variational Analysis
  • Numerical Methods in Inverse Problems
  • Differential Equations and Numerical Methods

Eduardo Casas has published extensively, with papers appearing in several prominent journals and venues. Frequent publication outlets for their work include:

  • arXiv (Cornell University)
  • SIAM Journal on Control and Optimization
  • ESAIM Control Optimisation and Calculus of Variations
  • Mathematical Control and Related Fields
  • Applied Mathematics & Optimization

Selected recent papers authored by Casas include:

  • Optimal Control of Semilinear Parabolic Equations with Non-smooth Pointwise-Integral Control Constraints in Time-Space, 2022, Applied Mathematics & Optimization
  • Optimal Control of the Two-Dimensional Evolutionary Navier--Stokes Equations with Measure Valued Controls, 2021, SIAM Journal on Control and Optimization
  • Infinite horizon optimal control problems for a class of semilinear parabolic equations, 2022, UCrea (University of Cantabria)
  • A Note on Existence of Solutions to Control Problems of Semilinear Partial Differential Equations, 2023, SIAM Journal on Control and Optimization
  • Optimal control of a parabolic equation with memory, 2023, ESAIM Control Optimisation and Calculus of Variations

Collaboration is a notable aspect of Eduardo Casas's research. The scientist frequently works with other researchers, including:

  • Karl Kunisch
  • Mariano Mateos
  • Fredi Tröltzsch
  • Konstantinos Chrysafinos
  • Daniel Wachsmuth

In summary, Eduardo Casas's body of work spans theoretical and applied aspects of mathematics and engineering with a concentration on control theory, optimization, and numerical methods.

Best Publications

  • Control of an elliptic problem with pointwise state constraints

    Eduardo Casas

  • Error Estimates for the Numerical Approximation of a Semilinear Elliptic Control Problem

    Nadir Arada;Eduardo Casas;Fredi Tröltzsch

  • Pontryagin's Principle for State-Constrained Boundary Control Problems of Semilinear Parabolic Equations

    Eduardo Casas

  • Boundary control of semilinear elliptic equations with pointwise state constraints

    Eduardo Casas

  • Error Estimates for the Numerical Approximation of Dirichlet Boundary Control for Semilinear Elliptic Equations

    Eduardo Casas;Jean-Pierre Raymond

  • Sufficient Second-Order Optimality Conditions for Semilinear Control Problems with Pointwise State Constraints

    Eduardo Casas;Juan Carlos de los Reyes;Fredi Tröltzsch

  • Error Estimates for the Numerical Approximation of Boundary Semilinear Elliptic Control Problems

    Eduardo Casas;Mariano Mateos;Fredi Tröltzsch

  • Optimality Conditions and Error Analysis of Semilinear Elliptic Control Problems with $L^1$ Cost Functional

    Eduardo Casas;Roland Herzog;Gerd Wachsmuth

  • Second Order Optimality Conditions for Semilinear Elliptic Control Problems with Finitely Many State Constraints

    Eduardo Casas;Mariano Mateos

  • Approximation of Elliptic Control Problems in Measure Spaces with Sparse Solutions

    Eduardo Casas;Christian Clason;Karl Kunisch

  • Second-Order Necessary and Sufficient Optimality Conditions for Optimization Problems and Applications to Control Theory

    Eduardo Casas;Fredi Tröltzsch

  • UNIFORM CONVERGENCE OF THE FEM. APPLICATIONS TO STATE CONSTRAINED CONTROL PROBLEMS

    Eduardo Casas;Mariano Mateos

  • Parabolic control problems in measure spaces with sparse solutions

    Eduardo Casas;Christian Clason;Karl Kunisch

  • L2 estimates for the finite element method for the Dirichlet problem with singular data

    Eduardo Casas

  • Second Order Sufficient Optimality Conditions for Some State-constrained Control Problems of Semilinear Elliptic Equations

    Eduardo Casas;Fredi Tröltzsch;Andreas Unger

  • Second Order Analysis for Bang-Bang Control Problems of PDEs

    Eduardo Casas

  • Second Order Analysis for Optimal Control Problems: Improving Results Expected From Abstract Theory

    Eduardo Casas;Fredi Tröltzsch

  • An Extension of Pontryagin's Principle for State-Constrained Optimal Control of Semilinear Elliptic Equations and Variational Inequalities

    Frederic Bonnans;Eduardo Casas

  • Second Order Sufficient Optimality Conditions for a Nonlinear Elliptic Boundary Control Problem

    E. Casas;Fredi Tröltzsch;A. Unger

  • Error Estimates for the Numerical Approximation of Semilinear Elliptic Control Problems with Finitely Many State Constraints

    Eduardo Casas

Frequent Co-Authors

Fredi Tröltzsch
Fredi Tröltzsch Technical University of Berlin
Karl Kunisch
Karl Kunisch University of Graz
Enrique Zuazua
Enrique Zuazua University of Erlangen-Nuremberg
Boris Vexler
Boris Vexler Technical University of Munich
Jan Sokolowski
Jan Sokolowski University of Lorraine
Günter Leugering
Günter Leugering University of Erlangen-Nuremberg

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