Sobolev Regularity for Maximal Operators
Explore recent developments in regularity theory for maximal operators, focusing on Sobolev and BV data. Accessible overview of an active research area with open questions.
The Regularity Problem for the Laplace Equation in Rough Domains
Explores recent advances in Boundary Value Problems for the Laplace operator in rough domains, focusing on the equivalence between Dirichlet and regularity problem solvability.
A Formula for Sobolev Seminorms Involving Weak L^p
Explore a mathematical formula for Sobolev seminorms involving weak L^p spaces, presented by Po-Lam Yung from the Hausdorff Center for Mathematics.
On the Growth of Sobolev Norms of a Stochastic CGL Equation with Arbitrary Space Dimension
Explore the growth of Sobolev norms in stochastic CGL equations across arbitrary space dimensions, presented by Guan Huang from Tsinghua University.
Partial Differential Equations - Lecture 25
Explore advanced concepts in partial differential equations, focusing on complex mathematical theories and their applications in various scientific fields.
Partial Differential Equations - Lecture 28
Explore advanced concepts in partial differential equations, focusing on complex mathematical theories and their applications in various scientific fields.
Partial Differential Equations - Lecture 24
Explore advanced concepts in partial differential equations, focusing on complex mathematical theories and their applications in this comprehensive lecture.
Partial Differential Equations - Lecture 22
Explore advanced concepts in partial differential equations, focusing on complex mathematical theories and their applications in various scientific fields.
Partial Differential Equations - Lecture 21
Explore advanced concepts in partial differential equations, focusing on complex mathematical theories and problem-solving techniques in this comprehensive lecture.
Partial Differential Equations - Lecture 16
Explore advanced concepts in partial differential equations, focusing on complex mathematical theories and problem-solving techniques in this comprehensive lecture.
Partial Differential Equations - Lecture 13
Explore advanced concepts in partial differential equations, focusing on complex mathematical theories and problem-solving techniques in this comprehensive lecture.
Partial Differential Equations - Lecture 8
Explore advanced concepts in partial differential equations, focusing on complex mathematical theories and problem-solving techniques in this comprehensive lecture.
Partial Differential Equations - Lecture 10
Explore advanced concepts in partial differential equations, focusing on complex mathematical theories and problem-solving techniques in this comprehensive lecture.
Adaptive Wavelet Methods and Applications
Explore adaptive wavelet methods for solving complex PDEs, including tensor product approximation and reformulation techniques for optimal solutions in various domains.
On Density of Sobolev Functions on Euclidean Domains
Explore recent findings on Sobolev space density, removability of measure zero sets, and extension operators in Euclidean domains. Gain insights into advanced mathematical concepts and their applications.
New Characterizations of Sobolev Spaces by Po Lam Yung
Explores novel approaches to characterizing Sobolev spaces, advancing understanding in functional analysis and partial differential equations. Presents cutting-edge research in harmonic analysis.
Characterisation of Area-Strict Limits of Planar BV Homeomorphisms
Explore area-strict limits of planar BV homeomorphisms, focusing on cavitations, fractures, and the no-crossing condition in elastic deformations.
Plans, Derivations, and Currents in Metric Measure Spaces
Explore novel proofs and techniques in metric p-Sobolev spaces, connecting plans, derivations, and currents in metric measure spaces. Gain insights into advanced mathematical concepts.
Sobolev Spaces in Extended Metric-Topological Measure Spaces
Explore Sobolev spaces in extended metric-topological measure spaces, focusing on Cheeger energy construction and properties in this general framework.
Sobolev Spaces on Metric Spaces - Lecture by Jun Kigami
Explore Sobolev spaces on metric spaces, covering basic concepts, new examples, and discrete energy. Gain insights into advanced mathematical analysis techniques.
Modern Trends in Gagliardo-Nirenberg Inequality
Explore modern trends in Gagliardo-Nirenberg inequality, including generalizations, refinements, and applications in functional analysis and partial differential equations.