Advances in Partial Differential Equations : PDEs, Operator Theory, and Mathematical Physics : A Tribute to the Scientific Work of Rainer Picard on the Occasion of His 80th Birthday (Operator Theory: Advances and Applications)

Trostorff, SaschaEDT/ Waurick, MarcusEDT

Springer, Berlin; Birkhäuser（2026/05発売）

• 製本 Hardcover:ハードカバー版
• 商品コード 9783032216069

Full Description

This book covers work in the broad area of the scientific interests of Rainer Picard's research work marking Rainer's 80th birthday. Thus, it contains numerous articles provided by his friends and colleagues from the areas of partial differential equations — both time-dependent and time-independent — from operator theory including topics such as monotonicity and particular operator theoretic applications to questions arising in partial differential equations or numerics, and from mathematical physics detailing the impact of functional analysis to the most recent models describing physical processes in nature.

Contents

Chapter 1. Nonrelativistic Limit of Two-Dimensional Dirac Operators on Lipschitz Domains.- Chapter 2. Gaffney's Inequality and the Closed Range Property in Unbounded Domains.- Chapter 3. Temperature-rate dependent two-temperature theory for piezothermoelastic materials.- Chapter 4. Statistics of the reflected energy from horizontally polarised shear wave propagation in randomly layered media.- Chapter 5. Stability for Magneto-Elastic Systems.- Chapter 6. Continuous Fragmentation Equations in Weighted L1 Spaces.- Chapter 7. Differentiating Accretive Operators, and Linearised Stability and Regularity for Nonlinear Evolution Equations.- Chapter 8. About critical exponents in semi-linear wave models with dominant mass term.- Chapter 9. Uniqueness and Stability for Time Discretizations of the SST-generalized Navier-Stokes Equations.- Chapter 10. Numerical Treatment of Non-local Integral Operators in the Framework of Evolutionary Equations.- Chapter 11. Spatial Approximation for Evolutionary Equations.