What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Partial differential equation
- Geometry
Panagiotis E. Souganidis mostly deals with Mathematical analysis, Partial differential equation, Homogenization, Hamilton–Jacobi equation and Viscosity solution.
In his work, Panagiotis E. Souganidis performs multidisciplinary research in Mathematical analysis and Viscosity.
He focuses mostly in the field of Partial differential equation, narrowing it down to matters related to Elliptic curve and, in some cases, Elliptic partial differential equation.
His research integrates issues of Viscosity, Differential and Integrable system in his study of Hamilton–Jacobi equation.
His Differential research includes elements of PDE surface, Finite difference and Type, Algebra.
His study on Viscosity solution is covered under Applied mathematics.
His most cited work include:
- Convergence of approximation schemes for fully nonlinear second order equations (877 citations)
- Phase Transitions and Generalized Motion by Mean Curvature (422 citations)
- Differential Games and Representation Formulas for Solutions of Hamilton-Jacobi-Isaacs Equations. (416 citations)
What are the main themes of his work throughout his whole career to date?
Mathematical analysis, Homogenization, Hamilton–Jacobi equation, Partial differential equation and Applied mathematics are his primary areas of study.
His work on Viscosity solution, Uniqueness and Parabolic partial differential equation as part of general Mathematical analysis research is frequently linked to Degenerate energy levels and Rate of convergence, thereby connecting diverse disciplines of science.
His Viscosity solution study combines topics from a wide range of disciplines, such as Differential and Monotone polygon.
His Hamilton–Jacobi equation study incorporates themes from Piecewise linear function, Pure mathematics and Regular polygon.
As part of his studies on Partial differential equation, Panagiotis E. Souganidis often connects relevant areas like Elliptic curve.
The study incorporates disciplines such as Conservation law, Work and Limit in addition to Applied mathematics.
He most often published in these fields:
- Mathematical analysis (74.44%)
- Homogenization (27.78%)
- Hamilton–Jacobi equation (22.78%)
What were the highlights of his more recent work (between 2015-2020)?
- Mathematical analysis (74.44%)
- Applied mathematics (18.33%)
- Hamilton–Jacobi equation (22.78%)
In recent papers he was focusing on the following fields of study:
Panagiotis E. Souganidis spends much of his time researching Mathematical analysis, Applied mathematics, Hamilton–Jacobi equation, Homogenization and Degenerate energy levels.
Panagiotis E. Souganidis performs multidisciplinary study on Mathematical analysis and Limiting in his works.
His work in the fields of Applied mathematics, such as Viscosity solution, overlaps with other areas such as Homogeneous and Rate of convergence.
His Regular polygon research extends to the thematically linked field of Hamilton–Jacobi equation.
Degenerate energy levels combines with fields such as Conservation law, Eikonal equation, Riemannian geometry, Partial differential equation and Uniqueness in his research.
His research integrates issues of Viscosity and Classification of discontinuities in his study of Uniqueness.
Between 2015 and 2020, his most popular works were:
- Long-time behavior, invariant measures and regularizing effects for stochastic scalar conservation laws (56 citations)
- Stochastic non-isotropic degenerate parabolic–hyperbolic equations (23 citations)
- Eikonal equations and pathwise solutions to fully non-linear SPDEs (21 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Geometry
- Algebra
His primary areas of study are Mathematical analysis, Applied mathematics, Conservation law, Degenerate energy levels and Homogeneous.
His study on Hamilton–Jacobi equation and Multiplicative function is often connected to Homogenization and Mathematical model as part of broader study in Mathematical analysis.
His work carried out in the field of Applied mathematics brings together such families of science as Mathematical proof, Limit and Type.
His Conservation law research integrates issues from Entropy, Kinetic energy and Scalar.
Panagiotis E. Souganidis connects Degenerate energy levels with Partial differential equation in his study.
Panagiotis E. Souganidis works mostly in the field of Partial differential equation, limiting it down to concerns involving Numerical analysis and, occasionally, Uniqueness.
This overview was generated by a machine learning system which analysed the scientist’s
body of work. If you have any feedback, you can
contact us
here.
