Titlebook: Research in PDEs and Related Fields; The 2019 Spring Scho Kaïs Ammari Book 2022 The Editor(s) (if applicable) and The Author(s), under excl

GRIPE

CT-angiography

Survey on the Decay of the Local Energy for the Solutions of the Nonlinear Wave Equation,ecay of local energy for localized semilinearity. The proof relies on generalized Strichartz estimates, and microlocal defect measures. We prove also that this decay is of polynomial type with general case of semilinearity but with small data.

DENT

无能力之人

国家明智

,Stability of a Graph of Strings with Local Kelvin–Voigt Damping,damping coefficients at the vertices, exponential/polynomial stability are proved. This is a new representation of Ammari et al. (Semigroup Forum 100:364–382, 2020), where we considered a tree. Then as indicated in paragraph four of Ammari et al. (Semigroup Forum 100:364–382, 2020), we obtain (under

不整齐

Sobolev Spaces and Elliptic Boundary Value Problems, as we will see, on data of the problem and, in particular, of the regularity of the domain. For the sake of clarity and simplification, we will examine two model problems, one involving the Laplacian and the other the Stokes operator.

Keshan-disease

,Geometric Control of Eigenfunctions of Schrödinger Operators,itions on the observation set than their counterparts for the wave and Schrödinger equations. We also introduce a class of Schrödinger operators on the two-dimensional sphere for which observability for eigenfunctions holds provided the observation region intersects only three fixed geodesics on the sphere, which only depend on the potential.

MODE

身体萌芽

吗啡

2522-0969 rch in PDEs and Related Fields. will be a valuable resource to graduate students and more junior members of the research community interested in control theory and analysis of PDEs..978-3-031-14270-3978-3-031-14268-0Series ISSN 2522-0969 Series E-ISSN 2522-0977