Analysis And Partial Differential Equations On Manifolds Fractals And Graphs

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Analysis and Partial Differential Equations on Manifolds, Fractals and Graphs

Author: Alexander Grigor'yan
language: en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date: 2021-01-18
The book covers the latest research in the areas of mathematics that deal the properties of partial differential equations and stochastic processes on spaces in connection with the geometry of the underlying space. Written by experts in the field, this book is a valuable tool for the advanced mathematician.
From Classical Analysis to Analysis on Fractals

Author: Patricia Alonso Ruiz
language: en
Publisher: Springer Nature
Release Date: 2023-10-24
Over the course of his distinguished career, Robert Strichartz (1943-2021) had a substantial impact on the field of analysis with his deep, original results in classical harmonic, functional, and spectral analysis, and in the newly developed analysis on fractals. This is the first volume of a tribute to his work and legacy, featuring chapters that reflect his mathematical interests, written by his colleagues and friends. An introductory chapter summarizes his broad and varied mathematical work and highlights his profound contributions as a mathematical mentor. The remaining articles are grouped into three sections – functional and harmonic analysis on Euclidean spaces, analysis on manifolds, and analysis on fractals – and explore Strichartz’ contributions to these areas, as well as some of the latest developments.
Potentials and Partial Differential Equations

Author: Suzanne Lenhart
language: en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date: 2023-05-22
This volume is dedicated to the legacy of David R. Adams (1941-2021) and discusses calculus of variations, functional - harmonic - potential analysis, partial differential equations, and their applications in modeling, mathematical physics, and differential - integral geometry.