What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Quantum mechanics
- Algebra
Jeffrey Rauch mainly focuses on Mathematical analysis, Nonlinear system, Hyperbolic systems, Hyperbolic partial differential equation and Pure mathematics.
His research is interdisciplinary, bridging the disciplines of Scattering and Mathematical analysis.
His Nonlinear system research is multidisciplinary, incorporating perspectives in Geometrical optics, Singular perturbation, Gravitational singularity and Variable.
His Hyperbolic partial differential equation study combines topics in areas such as Singularity and Hyperbolic function.
His Pure mathematics research is multidisciplinary, incorporating elements of Intersection, Conservation law and Combinatorics.
The Partial differential equation study combines topics in areas such as Initial value problem and Differential equation.
His most cited work include:
- Sharp sufficient conditions for the observation, control, and stabilization of waves from the boundary (1197 citations)
- Potential and scattering theory on wildly perturbed domains (234 citations)
- Exponential Decay of Solutions to Hyperbolic Equations in Bounded Domains (216 citations)
What are the main themes of his work throughout his whole career to date?
His primary areas of study are Mathematical analysis, Nonlinear system, Wave equation, Geometrical optics and Boundary value problem.
Hyperbolic partial differential equation, Partial differential equation, Bounded function, Initial value problem and Cauchy problem are the subjects of his Mathematical analysis studies.
His Hyperbolic partial differential equation research entails a greater understanding of Differential equation.
His research in the fields of Nonlinear optics overlaps with other disciplines such as Focal point.
His Geometrical optics research includes themes of Amplitude, Space, Physical optics and Eikonal equation.
His work carried out in the field of Boundary value problem brings together such families of science as Zero, Hyperbolic systems, Mathematical physics and Dissipative system.
He most often published in these fields:
- Mathematical analysis (55.83%)
- Nonlinear system (21.84%)
- Wave equation (16.99%)
What were the highlights of his more recent work (between 2009-2021)?
- Mathematical analysis (55.83%)
- Boundary value problem (13.11%)
- Maxwell's equations (6.80%)
In recent papers he was focusing on the following fields of study:
His primary scientific interests are in Mathematical analysis, Boundary value problem, Maxwell's equations, Dissipative system and Wave equation.
His Mathematical analysis study combines topics from a wide range of disciplines, such as Geometrical optics, Bloch wave and WKB approximation.
His Boundary value problem research incorporates themes from Zero, Hyperbolic systems, Trace and Square-integrable function.
He combines subjects such as Scalar field and Quantum electrodynamics with his study of Maxwell's equations.
Jeffrey Rauch has included themes like Semigroup, Omega, Mathematical physics, Operator and Eigenvalues and eigenvectors in his Dissipative system study.
His Hyperbolic partial differential equation study is concerned with the larger field of Partial differential equation.
Between 2009 and 2021, his most popular works were:
- Hyperbolic Partial Differential Equations and Geometric Optics (59 citations)
- The Analysis of Matched Layers (29 citations)
- Stability of Transonic Shock Solutions for One-Dimensional Euler–Poisson Equations (26 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Quantum mechanics
- Algebra
His scientific interests lie mostly in Mathematical analysis, Boundary value problem, Dissipative system, Maxwell's equations and Mathematical physics.
His work on Uniqueness as part of his general Mathematical analysis study is frequently connected to Homogenization, thereby bridging the divide between different branches of science.
The Uniqueness study which covers Initial value problem that intersects with Hyperbolic partial differential equation.
His Hyperbolic partial differential equation study necessitates a more in-depth grasp of Partial differential equation.
His work deals with themes such as Discontinuity, Hyperbolic systems and Numerical analysis, which intersect with Maxwell's equations.
His studies in Mathematical physics integrate themes in fields like Domain and Zero.
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