Semigroups of Operators – Theory and Applications

Chapter 1 Topologies in the Set of Rapidly Decreasing Distributions

Chapter 2 The Method of Chernoff Approximation

Chapter 3 Laplacians with Point Interactions—Expected and Unexpected Spectral Properties

Chapter 4 Remarks on a Characterization of Generators of Bounded $$C_0$$ -Semigroups

Chapter 5 Semigroups Associated with Differential-Algebraic Equations

Chapter 6 Positive Degenerate Holomorphic Groups of the Operators and Their Applications

Chapter 7 Microscopic Selection of Solutions to Scalar Conservation Laws with Discontinuous Flux in the Context of Vehicular Traffic

Chapter 8 Newton’s Method for the McKendrick-von Foerster Equation

Chapter 9 Singular Thermal Relaxation Limit for the Moore-Gibson-Thompson Equation Arising in Propagation of Acoustic Waves

Chapter 10 Applications of the Kantorovich–Rubinstein Maximum Principle in the Theory of Boltzmann Equations

Chapter 11 Propagators of the Sobolev Equations

Chapter 12 The Fourth Order Wentzell Heat Equation

Chapter 13 Nonlinear Semigroups and Their Perturbations in Hydrodynamics. Three Examples

Chapter 14 Method of Lines for a Kinetic Equation of Swarm Formation

Chapter 15 Degenerate Matrix Groups and Degenerate Matrix Flows in Solving the Optimal Control Problem for Dynamic Balance Models of the Economy

Chapter 16 Degenerate Holomorphic Semigroups of Operators in Spaces of $$\mathbf{K}$$ -“Noises” on Riemannian manifolds

Chapter 17 Optimal Energy Decay in a One-Dimensional Wave-Heat-Wave System

Chapter 18 Implicit Convolution Fokker-Planck Equations: Extended Feller Convolution

Chapter 19 Asymptotic Properties of Stochastic Semigroups with Applications to Piecewise Deterministic Markov Processes

Chapter 20 On Polynomial Stability of Coupled Partial Differential Equations in 1D

Chapter 21 Degenerate Nonlinear Semigroups of Operators and Their Applications

Chapter 22 Sharp Interior and Boundary Regularity of the SMGTJ-Equation with Dirichlet or Neumann Boundary Control

Chapter 23 Inverse Problem for the Boussinesq – Love Mathematical Model

Chapter 24 Optimal Control of Solutions to Showalter–Sidorov Problem for a High Order Sobolev Type Equation with Additive “Noise”