His primary areas of investigation include Mathematical analysis, Boundary, Wave equation, Applied mathematics and Boundary value problem. His Mathematical analysis study focuses mostly on Partial differential equation, Bounded function, Maxwell's equations, Gravitational singularity and Elliptic curve. His studies deal with areas such as Sobolev space, Numerical analysis and Interpolation as well as Partial differential equation.
His Maxwell's equations study incorporates themes from Dirichlet problem, Neumann boundary condition and Polygon mesh. His Boundary research includes themes of Exponential stability, Controllability and Calculus. Serge Nicaise has included themes like Lyapunov functional, Exponential function, Term, Independent equation and Polynomial in his Wave equation study.
The scientist’s investigation covers issues in Mathematical analysis, Applied mathematics, Boundary value problem, A priori and a posteriori and Boundary. His study explores the link between Mathematical analysis and topics such as Exponential stability that cross with problems in Observability. In his study, which falls under the umbrella issue of Applied mathematics, Constant is strongly linked to Upper and lower bounds.
As a part of the same scientific family, Serge Nicaise mostly works in the field of Boundary value problem, focusing on Gravitational singularity and, on occasion, Pure mathematics. His Boundary research includes elements of Heat equation and Laplace operator. His Wave equation research incorporates themes from Polynomial and Exponential decay.
His scientific interests lie mostly in Mathematical analysis, Applied mathematics, Exponential stability, Energy and Maxwell's equations. His Mathematical analysis research is multidisciplinary, incorporating elements of Boundary and Type. His Applied mathematics research is multidisciplinary, incorporating perspectives in Convection–diffusion equation, Steady state, Ordinary differential equation and Nonlinear system.
His research integrates issues of Stability result and Asymptotic analysis in his study of Exponential stability. His biological study spans a wide range of topics, including Semigroup and Bounded function. Within one scientific family, Serge Nicaise focuses on topics pertaining to Impedance boundary condition under Maxwell's equations, and may sometimes address concerns connected to Mathematical proof, Regular polygon and Neumann boundary condition.
Serge Nicaise focuses on Mathematical analysis, Applied mathematics, Maxwell's equations, Poisson's equation and Boundary value problem. The Mathematical analysis study combines topics in areas such as Perturbation and Omega. His studies in Applied mathematics integrate themes in fields like Domain and Nonlinear system.
His Domain study which covers Polyhedron that intersects with Boundary. His study in Poisson's equation is interdisciplinary in nature, drawing from both Dirichlet problem, Elliptic boundary value problem, Numerical analysis and Weak solution. His research in Boundary value problem focuses on subjects like Hyperbolic systems, which are connected to Ambient space, Partial differential equation and Controllability.
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Stability and Instability Results of the Wave Equation with a Delay Term in the Boundary or Internal Feedbacks
Serge Nicaise;Cristina Pignotti.
Siam Journal on Control and Optimization (2006)
Singularities of Maxwell interface problems
Martin Costabel;Monique Dauge;Serge Nicaise.
Mathematical Modelling and Numerical Analysis (1999)
Stabilization of the wave equation with boundary or internal distributed delay
Serge Nicaise;Cristina Pignotti.
Differential and Integral Equations (2008)
STABILITY OF THE HEAT AND OF THE WAVE EQUATIONS WITH BOUNDARY TIME-VARYING DELAYS
Serge Nicaise;Julie Valein;Emilia Fridman.
Discrete and Continuous Dynamical Systems - Series S (2009)
General Interface Problems-II
Serge Nicaise;Anna-Margarete Sändig.
Mathematical Methods in The Applied Sciences (1994)
Crouzeix-Raviart type finite elements on anisotropic meshes
Thomas Apel;Serge Nicaise;Joachim Schöberl.
Numerische Mathematik (2001)
Spectre des réseaux topologiques finis
Serge Nicaise.
Bulletin Des Sciences Mathematiques (1987)
The finite element method with anisotropic mesh grading for elliptic problems in domains with corners and edges
Thomas Apel;Serge Nicaise.
Mathematical Methods in The Applied Sciences (1998)
Stabilization of the wave equation on 1-d networks with a delay term in the nodal feedbacks
Serge Nicaise;Julie Valein.
Networks and Heterogeneous Media (2007)
An accurate H(div) flux reconstruction for discontinuous Galerkin approximations of elliptic problems
Alexandre Ern;Serge Nicaise;Martin Vohralík.
Comptes Rendus Mathematique (2007)
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