Progress In Analysis And Its Applications - Proceedings Of The 7th International Isaac Congress

Autor: Michael Ruzhansky, Jens Wirth

The International Society for Analysis, its Applications and Computation (ISAAC) has held its international congresses biennially since 1997. This proceedings volume reports on the progress in analysis, applications and computation in recent years as

Decay Estimates for a Klein–Gordon Model with Time-Periodic Coefficients

Autor: Giovanni Girardi, Jens Wirth

Publikováno v: Springer INdAM Series ISBN: 9783030613457

In this paper we consider a Klein–Gordon model with time-dependent periodic coefficients. The aim is to investigate how the presence of the mass term influences energy estimates with respect to the case of vanishing mass, already treated by J. Wirt

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::3059d12a5e02391c404729c8005adeb6
https://doi.org/10.1007/978-3-030-61346-4_14

On t-dependent hyperbolic systems. Part 2

Autor: Jens Wirth

Publikováno v: Journal of Mathematical Analysis and Applications. 448:293-318

We consider hyperbolic equations with time-dependent coefficients and develop an abstract framework to derive the asymptotic behaviour of the representation of solutions for large times. We are dealing with generic situations where the large-time asy

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::95a232e1a538c47fc0e43b50ae0306c5
https://doi.org/10.1016/j.jmaa.2016.11.026

Diffusion phenomena for partially dissipative hyperbolic systems

Autor: Jens Wirth

Publikováno v: Nonlinear Dynamics in Partial Differential Equations, S. Ei, S. Kawashima, M. Kimura and T. Mizumachi, eds. (Tokyo: Mathematical Society of Japan, 2015)

In this note we provide some precise estimates explaining the diffusive structure of partially dissipative systems with time-dependent coefficients satisfying a uniform Kalman rank condition. Precisely, we show that under certain (natural) conditions

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d9fbf7e32ac02d9a6d7918cca808ab8e
https://doi.org/10.2969/aspm/06410303

$$L^p$$ L p Fourier multipliers on compact Lie groups

Autor: Jens Wirth, Michael Ruzhansky

Publikováno v: Mathematische Zeitschrift. 280:621-642

In this paper we prove Lp multiplier theorems for invariant and non-invariant operators on compact Lie groups in the spirit of the well-known Hormander-Mikhlin theorem on Rn and its variants on tori Tn. We also give applications to a-priori estimates

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ba67855fe0e52ed83af2c8e3146f6991
https://doi.org/10.1007/s00209-015-1440-9