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- Jeffrey Rauch

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
34
Citations
6,817
186
World Ranking
1990
National Ranking
851

2013 - Fellow of the American Mathematical Society

- 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.

- 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)

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.

- Mathematical analysis (55.83%)
- Nonlinear system (21.84%)
- Wave equation (16.99%)

- Mathematical analysis (55.83%)
- Boundary value problem (13.11%)
- Maxwell's equations (6.80%)

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.

- 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)

- 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.

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.

Sharp sufficient conditions for the observation, control, and stabilization of waves from the boundary

Claude Bardos;Gilles Lebeau;Jeffrey Rauch.

Siam Journal on Control and Optimization **(1992)**

1700 Citations

Sharp sufficient conditions for the observation, control, and stabilization of waves from the boundary

Claude Bardos;Gilles Lebeau;Jeffrey Rauch.

Siam Journal on Control and Optimization **(1992)**

1700 Citations

Potential and scattering theory on wildly perturbed domains

Jeffrey Rauch;Michael Taylor.

Journal of Functional Analysis **(1975)**

343 Citations

Potential and scattering theory on wildly perturbed domains

Jeffrey Rauch;Michael Taylor.

Journal of Functional Analysis **(1975)**

343 Citations

Exponential Decay of Solutions to Hyperbolic Equations in Bounded Domains

Jeffrey Rauch;Michael Taylor.

Indiana University Mathematics Journal **(1974)**

329 Citations

Exponential Decay of Solutions to Hyperbolic Equations in Bounded Domains

Jeffrey Rauch;Michael Taylor.

Indiana University Mathematics Journal **(1974)**

329 Citations

Symmetric positive systems with boundary characteristic of constant multiplicity

Jeffrey Rauch.

Transactions of the American Mathematical Society **(1985)**

279 Citations

Differentiability of solutions to hyperbolic initial-boundary value problems

Jeffrey B. Rauch;Frank J. Massey.

Transactions of the American Mathematical Society **(1974)**

279 Citations

Symmetric positive systems with boundary characteristic of constant multiplicity

Jeffrey Rauch.

Transactions of the American Mathematical Society **(1985)**

279 Citations

Differentiability of solutions to hyperbolic initial-boundary value problems

Jeffrey B. Rauch;Frank J. Massey.

Transactions of the American Mathematical Society **(1974)**

279 Citations

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