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ویرایش: نویسندگان: Anna Maria Candela, Mirella Cappelletti Montano, Elisabetta Mangino سری: Trends in Mathematics ISBN (شابک) : 3031200209, 9783031200205 ناشر: Birkhäuser سال نشر: 2023 تعداد صفحات: 469 [470] زبان: English فرمت فایل : PDF (درصورت درخواست کاربر به PDF، EPUB یا AZW3 تبدیل می شود) حجم فایل: 11 Mb
در صورت تبدیل فایل کتاب Recent Advances in Mathematical Analysis: Celebrating the 70th Anniversary of Francesco Altomare به فرمت های PDF، EPUB، AZW3، MOBI و یا DJVU می توانید به پشتیبان اطلاع دهید تا فایل مورد نظر را تبدیل نمایند.
توجه داشته باشید کتاب پیشرفت های اخیر در تجزیه و تحلیل ریاضی: جشن هفتادمین سالگرد فرانچسکو آلتومار نسخه زبان اصلی می باشد و کتاب ترجمه شده به فارسی نمی باشد. وبسایت اینترنشنال لایبرری ارائه دهنده کتاب های زبان اصلی می باشد و هیچ گونه کتاب ترجمه شده یا نوشته شده به فارسی را ارائه نمی دهد.
این کتاب مقالات منتخب بررسی شده را در مورد موضوعات تحلیل غیرخطی، تحلیل تابعی، نظریه تقریب (نوع Korovkin) و معادلات دیفرانسیل جزئی جمع آوری می کند. هدف این جلد در واقع ارتقای ارتباط بین آن زمینه های مختلف در تجزیه و تحلیل ریاضی است. این کتاب به مناسبت هفتادمین سالگرد فرانچسکو آلتوماره جشن می گیرد.
This book collects selected peer reviewed papers on the topics of Nonlinear Analysis, Functional Analysis, (Korovkin-Type) Approximation Theory, and Partial Differential Equations. The aim of the volume is, in fact, to promote the connection among those different fields in Mathematical Analysis. The book celebrates Francesco Altomare, on the occasion of his 70th anniversary.
Rector's Foreword Preface From ReDiMA 2021 Opening Ceremony Contents List of Contributors On Wachnicki's Generalization of the Gauss–Weierstrass Integral 1 Introduction 2 The Operators 3 The Asymptotic Expansion 4 Localization Result References Generalized Subharmonic and Weakly Convex Functions 1 Introduction 2 A Conjecture 3 A Result Related to the Conjecture References A Strong Variant of Weyl's Theorem Under Functional Calculus and Perturbations 1 Introduction 2 Definitions and Preliminary Results 3 S-Weyl's Theorem 4 S-Weyl's Theorem Under Commuting Perturbations References Multiplication and Convolution Topological Algebras in Spaces of ω-Ultradifferentiable Functions of Beurling Type 1 Introduction 2 Definitions and Preliminary Results 3 The Algebras (OM,ω(RN),·), (Sω(RN),·), (Sω(RN),) and (OC,ω(RN),) 4 Hypocontinuity and Discontinuity 4.1 Hypocontinuity 4.2 Discontinuity References Higher Order Elliptic Equations in Generalized Morrey Spaces 1 Introduction 2 Definitions and Preliminary Results 3 Statement of the Problem and the Main Result References Norm and Essential Norm of Composition Operators Mapping into Weighted Banach Spaces of Harmonic Mappings 1 Introduction 2 Boundedness, Compactness, and Operator Norm 3 Essential Norm 4 Applications to Hilbert Spaces of Harmonic Mappings 4.1 The Harmonic Hardy Space 4.2 The Harmonic Bergman Space 4.3 The Harmonic Dirichlet Space 5 An Application to the Harmonic Bloch Space References Generalized Gaussian Estimates for Elliptic Operators with Unbounded Coefficients on Domains 1 Introduction 2 Preliminaries 2.1 Sesquilinear Forms and Properties of the Associated Semigroups 2.2 Finite-Dimensional Sesquilinear Forms with Real Coefficients 3 A Second Order Elliptic Operator on Ω with Unbounded Coefficients 4 Gaussian Estimates 5 The Lp-Analyticity of the Semigroup (T(t)) 6 Examples References An Existence Result for Perturbed (p,q)-Quasilinear EllipticProblems 1 Introduction 2 Preliminary Material 2.1 Quasi-Eigenvalues for the Operator -p-q 2.2 Variational Tools 2.3 Essential Values 3 The Unperturbed Case 4 The Perturbed Case References Weighted Composition Operators on Weighted Spaces of Banach Valued Analytic Functions 1 Introduction 2 The Operator Wψ,φ on Weighted Banach Spaces of Vector-Valued Functions 3 Inductive Limits of Weighted Banach Spaces of Vector-Valued Functions 4 Projective Limits of Weighted Banach Spaces of Vector-Valued Functions References Existence of Positive Solutions of Nonlinear Second Order Dirichlet Problems Perturbed by Integral Boundary Conditions 1 Introduction 2 Linear Part: Green's Function 2.1 Case γ=0 2.2 Case γ>0 2.3 Case γ<0 3 Nonlinear Problem 3.1 Problem (2), (3) References A Degenerate Operator in Non Divergence Form 1 Introduction 2 The Fourth Order Operator if the Degeneracy Point belongs to the Boundary 3 The Domain of the Operator A and the Case x0 (0,1) 4 The General Operator of Order 2n References Korovkin Approximation of Set-Valued Integrable Functions 1 Introduction and Notation 2 Korovkin-Type Results in the Cone of Set-Valued Integrable Functions 3 Sequences of Set-Valued Kantorovich and Bernstein-Durrmeyer Operators References Convergence of a Class of Generalized Sampling Kantorovich Operators Perturbed by Multiplicative Noise 1 Introduction 2 Notations and Preliminary Results 3 Convergence Theorems 4 Link to Classical Settings References A Modification of Bernstein-Durrmeyer Operators with Jacobi Weights on the Unit Interval 1 Introduction 2 Preliminaries 3 Modified Bernstein-Durrmeyer Operators with Jacobi Weights 4 Asymptotic Formula and Its Consequences References On a Particular Scaling for the Prototype Anisotropic p-Laplacian 1 Introduction to the Problem 1.1 Structure of the Paper 2 Preliminaries 2.1 Scaling Properties of Solutions 3 Scaling Invariants 4 A Topological Consequence of Energy Invariants: Lower Semi-Continuity of Super-Solutions References A Deformation Theory in Augmented Spaces and Concentration Results for NLS Equations Around Local Maxima 1 Introduction 2 Limit Problem and Neighborhood of Expected Solutions 2.1 Limit Problems 3 -Dependent Distance and a Neighborhood of Expected Solutions 4 Concentration-Compactness Type Result 5 Tail Minimizing Vector Field 6 Deformation Argument 6.1 Deformation Result 6.2 A Special Vector Field for Deformation 7 Proof of Theorem 1.1 References Some Geometric Observations on Heat Kernels of Markov Semigroups with Non-local Generators 1 Introduction 2 Setting the Scene: The Operators (-)r and (r) 3 Some Comparisons of Semigroups 4 Two Detailed Examples and a Problem of General Nature 5 More Examples and Observations References On Oscillatory Behavior of Third Order Half-Linear Difference Equations 1 Introduction 2 Main Results References Existence of Bounded Solutions for a Weighted Quasilinear Elliptic Equation in RN 1 Introduction 2 Abstract Setting 3 Variational Framework and Regularity Result 4 The Main Theorem and Related Results 5 Proof of the Theorem 4.1 References Elliptic and Parabolic Problems for a Bessel-Type Operator 1 Introduction 2 The Multiplier Nλ,σ(ξ,s)=exp(-csσsrλ+ Q(ξ,r) dr) 3 The Elliptic Problem 3.1 Weighted Spaces 4 Elliptic Regularity 5 The Parabolic Problem 6 Comments on the Associated Semigroup 7 Appendix 1: A Review of Some Classic Multipliers 8 Appendix 2: The Method of Continuity References Anisotropic (p,q)-Equations with Convex and NegativeConcave Terms 1 Introduction 2 Preliminaries 3 Conditions and Hypotheses 4 Auxiliary Propositions 5 Proof of Main Theorem 5.1 Existence of Two Solutions 5.2 Existence of Third Solution References Implicit Coupled k-Generalized ψ-Hilfer Fractional Differential Systems with Terminal Conditions in Banach Spaces 1 Introduction 2 Preliminaries 3 Existence of Solutions 4 An Example References