Microlocal analysis / by Rothschild, Linda P., Beals, Richard, 1938-, Baouendi, M. S.

Nonlinear analysis and microlocal analysis / by Chang, Kung-ching, International Conference on Nonlinear Analysis and Microlocal Analysis (1991 : Tianjin, China)

Subjects:

Microlocal analysis of forced waves by Dyatlov, Semyon, Zworski, Maciej

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Applications of Microlocal Analysis in Inverse Problems by Mikko Salo

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Dynamical zeta functions for Anosov flows via microlocal analysis by Dyatlov, Semyon, Dyatlov, Semen

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Dirac operators, heat kernels and microlocal analysis Part II: Analytic surgery by Rafe Mazzeo, Paolo Piazza

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Adiabatic Limit, Heat Kernel and Analytic Torsion by Dai, Xianzhe, Melrose, Richard B

“…Keywords: adiabatic limit; heat kernel; singularity; microlocal analysis; analytic torsion…”
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100 years of Weyl’s law by Victor Ivrii

“…We consider Weyl asymptotics, asymptotics with Weyl principal parts and correction terms and asymptotics with non-Weyl principal parts. Semiclassical microlocal analysis, propagation of singularities and related dynamics play crucial role. …”
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Isometric embedding via strongly symmetric positive systems by Chen, G, Clelland, J, Slemrod, M, Wang, D, Yang, D

“…Our proof avoids the sophisticated arguments via microlocal analysis used in earlier proofs. In Part 1, we introduce a new type of system of partial differential equations (PDE), which is not one of the standard types (elliptic, hyperbolic, parabolic) but satisfies a property called strong symmetric positivity. …”

Exponential asymptotics and Stokes lines in a partial differential equation by Chapman, S, Mortimer, D

“…(Aoki et al. 1998 In Microlocal analysis and complex Fourier analysis (ed. K. …”

Linear stability of slowly rotating Kerr black holes by Hintz, Peter

“…Our proof rests on a robust general framework, based on recent advances in microlocal analysis and non-elliptic Fredholm theory, for the analysis of resolvents of operators on asymptotically flat spaces. …”
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The almost everywhere convergence of eigenfunction expansions of elliptic differential operators in the Torus by Matarneh, Ehab Salem

“…Spectral theory of the elliptic differential operators is an extremely rich field which has been studied by many qualitative and quantitative techniques like Sturm-Liouville theory, separation of variables, Fourier and Laplace transforms, perturbation theory, eigenfunction expansions, variational methods, microlocal analysis, stochastic analysis and numerical methods including finite elements. …”
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