to Shape Optimization Theory and Some Classical Problems -- Optimization Problems over Classes of Convex Domains -- Optimal Control Problems: A General Scheme -- Shape Optimization Problems with Dirichlet Condition on the Free Boundary -- Existence of Classical Solutions -- Optimization Problems for Functions of Eigenvalues -- Shape Optimization Problems with Neumann Condition on the Free Bound…
Formulation of the Problems and Their Nonstationary Boundary Integral Equations -- Problems with Dirichlet Boundary Conditions -- Problems with Neumann Boundary Conditions -- Boundary Integral Equations for Problems with Dirichlet and Neumann Boundary Conditions -- Transmission Problems and Multiply Connected Plates -- Plate Weakened by a Crack -- Initial-Boundary Value Problems with Other Type…
and Preliminaries -- Almost Automorphic Evolution Equations -- Almost Periodicity in Fuzzy Setting -- Almost Automorphy in Fuzzy Setting.Since the publication of our first book [80], there has been a real resiu-gence of interest in the study of almost automorphic functions and their applications ([16, 17, 28, 29, 30, 31, 32, 40, 41, 42, 46, 51, 58, 74, 75, 77, 78, 79]). New methods (method of i…
and Notation -- Variational Principles -- Variational Techniques in Subdifferential Theory -- Variational Techniques in Convex Analysis -- Variational Techniques and Multifunctions -- Variational Principles in Nonlinear Functional Analysis -- Variational Techniques In the Presence of Symmetry.Variational arguments are classical techniques whose use can be traced back to the early development of…
Presentation of the Mumford-Shah Functional -- Functions in the Sobolev Spaces W1,p -- Regularity Properties for Quasiminimizers -- Limits of Almost-Minimizers -- Pieces of C1 Curves for Almost-Minimizers -- Global Mumford-Shah Minimizers in the Plane -- Applications to Almost-Minimizers (n = 2) -- Quasi- and Almost-Minimizers in Higher Dimensions -- Boundary Regularity.Award-winning monograph …
On Existence of Solutions of Semilinear Impulsive Functional Differential Equations with Nonlocal Conditions -- On Banach-Lie Algebras, Spectral Decompositions and Complex Polarizations -- Commuting Triples of Subnormal Operators and Related Moment Problems -- The Equality of the Reduced and the Full C*-Algebras and the Amenability of a Topological Groupoid -- ?-Numerical Radius in Banach Space…
Inverse Scattering with Rational Scattering Coefficients and Wave Propagation in Nonhomogeneous Media -- Aluthge Transforms and the Convex Hull of the Spectrum of a Hilbert Space Operator -- Maximal Nevanlinna-Pick Interpolation for Points in the Open Unit Disc -- On the Numerical Solution of a Nonlinear Integral Equation of Prandtl’s Type -- Fourier Integral Operators and Gelfand-Shilov Spac…
Saturated and Conditional Structures in Banach Spaces -- Tsirelson and Mixed Tsirelson Spaces -- Tree Complete Extensions of a Ground Norm -- Hereditarily Indecomposable Extensions with a Schauder Basis -- The Space of the Operators for Hereditarily Indecomposable Banach Spaces -- Examples of Hereditarily Indecomposable Extensions -- The Space $$\mathfrak{X}\omega _1 $$ -- The Finite Represent…
Wave Maps and Ill-posedness of their Cauchy Problem -- On the Global Behavior of Classical Solutions to Coupled Systems of Semilinear Wave Equations -- Decay and Global Existence for Nonlinear Wave Equations with Localized Dissipations in General Exterior Domains -- Global Existence in the Cauchy Problem for Nonlinear Wave Equations with Variable Speed of Propagation -- On the Nonlinear Cauchy …
Linearization -- Fixed-Point Theorems -- Degree Theory and Applications -- Minimization Methods -- Topological and Variational Methods.Nonlinear analysis has developed rapidly in the last three decades. Theories, techniques and results in many different branches of mathematics have been combined in solving nonlinear problems. This book collects and reorganizes up-to-date materials scattered thr…