Nuntiaturberichte aus Deutschland . 6. Band Nuntiatur Des Ciriaco Rocci, Ausserordentliche Nuntiatur Des Girolamo Grimaldi, Sendung Des P. Alessandro D'Ales (1633-164) / / im auftrage des Deutschen Historischen Instituts in Rom bearbeitet von Rotraud Becker

• Record Nr.: UNINA9910465368803321
• Pubbl/distr/stampa: Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2016; ©2016
• ISBN: 3-11-046047-5; 3-11-046225-7
• Descrizione fisica: 1 online resource (768 p.)
• Collana: Nuntiaturberichte aus Deutschland nebst ergänzenden Aktenstücken
• Disciplina: 261.709430904
• Soggetti: Christianity - Germany - History; Electronic books.
• Lingua di pubblicazione: Tedesco
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: Frontmatter -- Inhaltsverzeichnis -- Vorwort -- Einleitung -- Nuntiaturkorrespondenz Nr. 1 - Nr. 27.3 -- Nuntiaturkorrespondenz Nr. 28 - Nr. 64.2 -- Nuntiaturkorrespondenz Nr. 65 - Nr. 120 -- Nuntiaturkorrespondenz Nr. 121.1 - Nr. 157.2 -- Anhang Nr. 1 - Nr. 34 -- Abkürzungen und Siglen -- Abgekürzte Anrede- und Titelformen -- Archivalien -- Quellen und Darstellungen -- Register
• Sommario/riassunto: Der Band enthält die Korrespondenz des päpstlichen Staatssekretariats mit den vom Kaiserhof in Wien berichtenden Nuntien und die Berichte eines ebenfalls mit diplomatischen Aufgaben betrauten Kapuziners aus einer besonders ereignisreichen Phase des Dreißigjährigen Krieges. Im Reich ist es die Zeit wachsenden Misstrauens gegen Wallenstein, seiner Absetzung und Tötung und der für die kaiserliche Seite zunächst günstigen Kriegsentwicklung der folgenden Monate. Die gleichzeitige päpstliche Politik erweist sich als bestimmt von dem Bestreben, Ausgleich und Bündnis unter den katholischen Mächten zu vermitteln und den Kaiser für die Aufnahme von Friedensverhandlungen zu von Frankreich gesetzten Bedingungen zu gewinnen. Die militärische Lage brachte dagegen mit sich, dass im Reich die Aussöhnung mit den ; protestantischen Reichsständen gesucht wurde. Das Verhältnis zu Frankreich näherte sich dabei immer deutlicher dem offenen Kriegsausbruch und damit der weiteren Ausbreitung des Krieges.

Pseudo-Monotone Operator Theory for Unsteady Problems with Variable Exponents / / by Alex Kaltenbach

• Record Nr.: UNINA9910739446303321
• Autore: Kaltenbach Alex
• Pubbl/distr/stampa: Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023
• ISBN: 3-031-29670-2
• Edizione: [1st ed. 2023.]
• Descrizione fisica: 1 online resource (364 pages)
• Collana: Lecture Notes in Mathematics, , 1617-9692 ; ; 2329
• Disciplina: 515.353
• Soggetti: Functional analysis; Fluid mechanics; Operator theory; Differential equations; Functional Analysis; Engineering Fluid Dynamics; Operator Theory; Differential Equations
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: Intro -- Preface -- Contents -- Notation-Related Comments -- 1 Introduction -- 1.1 Fluid Mechanics and Pseudo-Monotone Operator Theory: A Never-Ending Love Affair or Merely an On-Off Relationship? -- 1.2 Electro-Rheological Fluids -- 1.3 Aims and Outline of This Manuscript -- 1.3.1 Main Part -- 1.3.2 Extensions -- 2 Preliminaries -- 2.1 Theory of Pseudo-Monotone Operators -- 2.2 Variable Exponent Spaces -- 2.2.1 Classical Function Spaces -- 2.2.2 Variable Lebesgue Spaces -- 2.2.3 Duality in Variable Lebesgue Spaces -- 2.2.4 Variable Sobolev Spaces -- 2.2.5 The Hardy-Littlewood Maximal Operator and log-Hölder Continuity -- 2.2.6 Mollification in Lp(·)(Rn) -- 2.3 Banach-; Valued Function Spaces -- 2.3.1 Banach-Valued Classical Function Spaces -- 2.3.2 Bochner-Lebesgue Spaces -- 2.3.3 Bochner-Sobolev Spaces -- 2.3.4 Advanced Theory of Pseudo-Monotone Operators for Evolution Equations -- Part I Main Part -- 3 Variable Bochner-Lebesgue Spaces -- 3.1 The Spaces Xq,p(QT) and Xq,p(QT) -- 3.2 Duality in Xq,p(QT) -- 3.3 Embedding Theorems for Xq,p(QT) -- 3.4 Smoothing in Xq,p(QT) -- 3.5 The Spaces q,p(QT) and q,p(QT) -- 3.6 Generalized Time Derivative in q,p(QT)* -- 3.7 Formula of Integration-by-Parts for Wq,p(QT) -- 3.8 Abstract Existence Result for Lipschitz Domains -- 3.9 Application to Model Problem -- 4 Solenoidal Variable Bochner-Lebesgue Spaces -- 4.1 The Spaces Vq,p(QT) and Vq,p(QT) -- 4.2 Duality in Vq,p(QT) -- 4.3 Smoothing in Vq,p(QT) -- 4.3.1 Failure of Smoothing via Bogovskiĭ Correction -- 4.3.2 Smoothing via Transversal Expansion of LipschitzDomains -- 4.4 The Spaces q,p(QT) and q,p(QT) -- 4.5 Generalized Time Derivative in q,p(QT)* -- 4.6 Formula of Integration-by-Parts for Wq,p,σ(QT) -- 5 Existence Theory for Lipschitz Domains -- 5.1 Bochner Pseudo-Monotonicity, Bochner Condition (M) and Bochner Coercivity -- 5.2 The Hirano-Landes Approach.; 5.3 C0-Bochner Pseudo-Monotonicity, C0-Bochner Condition (M) and C0-Bochner Coercivity -- 5.4 Abstract Existence Theorem for Lipschitz Domains and p-≥2 -- 5.5 Application to Model Problems -- 5.5.1 Unsteady p(·,·)-Stokes Equations in a Lipschitz Domain with p-≥2 -- 5.5.2 Unsteady p(·,·)-Navier-Stokes Equations in a Lipschitz Domain with p- ≥3d+2d+2 -- Part II Extensions -- 6 Pressure Reconstruction -- 6.1 Pressure Reconstruction -- 6.2 Application to Model Problems -- 6.3 Applicability of Parabolic L∞- and Lipschitz Truncation -- 6.3.1 Parabolic L∞- and Lipschitz Truncation -- 6.3.2 Parabolic Solenoidal Lipschitz Truncation -- 7 Existence Theory for Irregular Domains -- 7.1 Bochner-Sobolev Condition (M) -- 7.2 L1-Monotonicity -- 7.2.1 Finite Radon Measures -- 7.2.2 Minty-Trick Like Argument for L1-Monotone Operators -- 7.3 Anisotropic Variable Exponent Bochner-Lebesgue Spaces -- 7.3.1 The Space Xq,p,s,div(QT) -- 7.3.2 Duality in Xq,p,s,div(QT) -- 7.3.3 Smoothing in Xq,p,s,div(QT) -- 7.3.4 Generalized Time Derivative in Xq,p,s,div(QT)* and Formula of Integration-by-Parts for Wq,p,s,div(QT) -- 7.4 First Parabolic Compensated Compactness Principle -- 7.5 Abstract Existence Result for Irregular Domains and p-≥2 -- 7.6 Application to Model Problems -- 7.6.1 Unsteady p(·,·)-Stokes Equations in an Irregular Domain with p-≥2 -- 7.6.2 Unsteady p(·,·)-Navier-Stokes Equations in an Irregular Domain with p- &gt -- 3d+2d+2 -- 8 Existence Theory for p-&lt -- 2 -- 8.1 Second Parabolic Compensated Compactness Principle -- 8.2 Unsteady p(·,·)-Navier-Stokes Equations in an Irregular Domain with p-&gt -- 3dd+2 -- 8.3 Unsteady p(·,·)-Stokes Equations in an Irregular Domain with p-&gt -- 2dd+2 -- 9 Appendix -- 9.1 Point-Wise Poincaré Inequality for the Symmetric Gradient -- 9.2 Generalized Lebesgue Differentiation Theorem.; 9.3 Portemanteau Theorem for Weak-* Convergence -- References.
• Sommario/riassunto: This book provides a comprehensive analysis of the existence of weak solutions of unsteady problems with variable exponents. The central motivation is the weak solvability of the unsteady p(.,.)-Navier–Stokes equations describing the motion of an incompressible electro-rheological fluid. Due to the variable dependence of the power-law index p(.,.) in this system, the classical weak existence analysis based on the pseudo-monotone operator theory in the framework of Bochner–Lebesgue spaces is not applicable. As a substitute for Bochner–Lebesgue spaces, variable Bochner–Lebesgue spaces are introduced and analyzed. In the mathematical framework of this substitute, the theory of pseudo-monotone operators is extended to ; unsteady problems with variable exponents, leading to the weak solvability of the unsteady p(.,.)-Navier–Stokes equations under general assumptions. Aimed primarily at graduate readers, the book develops the material step-by-step, starting with the basics of PDE theory andnon-linear functional analysis. The concise introductions at the beginning of each chapter, together with illustrative examples, graphics, detailed derivations of all results and a short summary of the functional analytic prerequisites, will ease newcomers into the subject.