Stochastic partial differential equations and related fields : in honor of Michael Röckner SPDERF, Bielefeld, Germany, October 10 -14, 2016 /: in honor of Michael Röckner SPDERF, Bielefeld, Germany, October 10 -14, 2016. (2018)

• Record Type: Book
• Further Information: Note: Andreas Eberle, Martin Grothaus, Walter Hoh, Moritz Kassmann, Wilhelm Stannat, Gerald Trutnau, editors.
• Editors: Eberle, Andreas, 1969-; (Professor), Grothaus, Martin; Höh, Walter; Kassmann, Moritz; Stannat, Wilhelm; Trutnau, Gerald
• Other Names: Röckner, Michael 1956- honouree.; Conference "Stochastic Partial Differential Equations and Related Fields''
• Contents: Intro; Preface; Acknowledgements; Contents; Organization; List of Participants; Part I Longer Contributions; Stationary Fokker-Planck-Kolmogorov Equations; 1 Introduction; 2 The Case of a Non-differentiable Diffusion Matrix: Existence and Higher Integrability of Densities; 3 The Case of a Sobolev Differentiable Diffusion Matrix; 4 Harnack's Inequality and Lower and Upper Bounds; 5 Existence of Probability Solutions; 6 Uniqueness Problems; 7 The Infinite-Dimensional Case; References; Liouville Property of Harmonic Functions of Finite Energy for Dirichlet Forms; 1 Introduction 2.2 Well-Posedness by Noise for Stochastic Inhomogeneous Scalar Conservation Laws2.3 Regularization by Noise for Stochastic Scalar Conservation Laws; 2.4 Open Interfaces and Porous Media Equations; References; An Introduction to Singular SPDEs; 1 Introduction; 2 Paraproducts; 3 Paracontrolled Analysis; 4 Ambiguities and Renormalisation; 5 Higher Order Expansions; 6 Weak Universality; 7 Anderson Hamiltonian; 8 Singular Martingale Problem; References; Fokker-Planck Equations in Hilbert Spaces; 1 Introduction and Setting of the Problem; 2 Preliminaries on the Ornstein-Uhlenbeck Semigroup 3 Existence3.1 Basic Assumptions; 3.2 Tightness; 3.3 Other Assumptions; 4 Uniqueness; 4.1 The Rank Condition; 4.2 The Semigroup Associated to a Non Autonomous Problem; 4.3 The Case When C-1 is Bounded; 4.4 The Case When Tr C<infty; References; Part II Stochastic Partial Differential Equations and Regularity Structures; Stochastic and Deterministic Constrained Partial Differential Equations; 1 Introduction; 2 A Geometric Approach; 3 Constrained ``Heat'' Equation; 4 Local Existence and Invariance; 5 Applications; 5.1 Reaction Diffusion Equation; 5.2 Navier-Stokes Equations on a Torus mathbbT2 6 Generalisation to Stochastic PDEsReferences; SPDEs with Volterra Noise; 1 Introduction; 2 SPDEs with Additive Volterra Noise; 3 SPDEs with Multiplicative Gaussian Volterra Noise; References; Hitting Probabilities for Systems of Stochastic PDEs: An Overview; 1 Introduction; 2 Benchmark Results for Gaussian Random Fields; 2.1 First Example: The Brownian Sheet; 2.2 Anisotropic Gaussian Random Fields; 2.3 Funaki's Random String; 3 Hitting Probabilities for Non-Gaussian Random Fields; 3.1 Systems of Nonlinear Wave Equations in Spatial Dimension 1; 3.2 Other Non-linear Systems of SPDEs
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2018
• Extent: 1 online resource (xx, 574 pages), illustrations
• Subjects: 519.2/2; Mathematics; Stochastic partial differential equations -- Congresses; Stochastic partial differential equations; MATHEMATICS / Applied; MATHEMATICS / Probability & Statistics / General; Mathematics -- Differential Equations; Mathematics -- Applied; Differential calculus & equations; Mathematical modelling; Distribution (Probability theory); Differential equations, partial; Mathematics -- Probability & Statistics -- General; Probability & statistics; Electronic books; Conference papers and proceedings
• Languages: English
• ISBNs: 9783319749297; 3319749293
• Related ISBNs: 9783319749280; 3319749285
• Notes: Note: Online resource; title from PDF title page (SpringerLink, viewed July 13, 2018).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.