Differential operators | Partial differential equations

Semi-elliptic operator

In mathematics — specifically, in the theory of partial differential equations — a semi-elliptic operator is a partial differential operator satisfying a positivity condition slightly weaker than that of being an elliptic operator. Every elliptic operator is also semi-elliptic, and semi-elliptic operators share many of the nice properties of elliptic operators: for example, much of the same existence and uniqueness theory is applicable, and semi-elliptic Dirichlet problems can be solved using the methods of stochastic analysis. (Wikipedia).

Video thumbnail

Math: Partial Differential Eqn. - Ch.1: Introduction (4 of 42) Partial Differential Operator

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is the partial differential operator and how, again like the previous video, different notations are used to express the same thing. Yes! I'm convinced mathematicians invent different no

From playlist PARTIAL DIFFERENTIAL EQNS CH1 INTRODUCTION

Video thumbnail

Schemes 46: Differential operators

This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne. In this lecture we define differential operators on rings, and calculate the universal (normalized) differential operator of order n. As a special case we fin

From playlist Algebraic geometry II: Schemes

Video thumbnail

(ML 19.5) Positive semidefinite kernels (Covariance functions)

Definition of a positive semidefinite kernel, or covariance function. A simple example. Explanation of terminology: autocovariance, positive definite kernel, stationary kernel, isotropic kernel, covariogram, positive definite function.

From playlist Machine Learning

Video thumbnail

Dimitry Gurevich - q-cut-and-join Operators and q-Capelli Identity on Reflection Equation Algebras

There exists a way, based on the notion of Quantum Doubles, to introduce analogs of partial derivatives on the so-called Reflection Equation algebras. Analogously to the classical case it is possible to use these ”q-derivatives” for different applications. I plan to explain their utility f

From playlist Combinatorics and Arithmetic for Physics: special days

Video thumbnail

Partial Derivatives and the Gradient of a Function

We've introduced the differential operator before, during a few of our calculus lessons. But now we will be using this operator more and more over the prime symbol we are used to when describing differentiation, as from now on we will frequently be differentiating with respect to a specifi

From playlist Mathematics (All Of It)

Video thumbnail

Partial derivatives | Appendix E | Differential Equations for Engineers

Definition of the partial derivative. Join me on Coursera: https://www.coursera.org/learn/differential-equations-engineers Lecture notes at http://www.math.ust.hk/~machas/differential-equations-for-engineers.pdf Subscribe to my channel: http://www.youtube.com/user/jchasnov?sub_confirmat

From playlist Differential Equations for Engineers

Video thumbnail

How to Determine if Functions are Linearly Independent or Dependent using the Definition

How to Determine if Functions are Linearly Independent or Dependent using the Definition If you enjoyed this video please consider liking, sharing, and subscribing. You can also help support my channel by becoming a member https://www.youtube.com/channel/UCr7lmzIk63PZnBw3bezl-Mg/join Th

From playlist Zill DE 4.1 Preliminary Theory - Linear Equations

Video thumbnail

C언어 09강 연산자-II

이번 강의는 ' C언어 09강 연산자-II ' 편입니다. 바로가기: http://iotcenter.seoul.go.kr/648

From playlist c언어

Video thumbnail

Transcendental Functions 17 The Indefinite Integral of 1 over u du Example 1.mov

Example problems involving the integral of u to the power negative 1 du.

From playlist Transcendental Functions

Video thumbnail

The Hypoelliptic Laplacian: An Introduction - Jean-Michel Bismut

Jean-Michel Bismut Universite de Paris-Sud March 26, 2013 For more videos, visit http://video.ias.edu

From playlist Mathematics

Video thumbnail

Andras Vasy - Microlocal analysis and wave propagation (Part 2)

In these lectures I will explain the basics of microlocal analysis, emphasizing non-­elliptic problems, such as wave propagation, both on manifolds without boundary, and on manifolds with boundary. In the latter case there is no « standard » algebra of differential, or pseudodifferential,

From playlist Ecole d'été 2014 - Analyse asymptotique en relativité générale

Video thumbnail

Max Jensen: Convergent semi-Lagrangian methods for the Monge-Ampère equation on unstructured grids

The lecture was held within the framework of the Hausdorff Trimester Program Multiscale Problems: Workshop on Numerical Inverse and Stochastic Homogenization. (15.02.2017) In this presentation I will discuss a semi-Lagrangian discretisation of the Monge-Ampère operator on P1 finite elemen

From playlist HIM Lectures: Trimester Program "Multiscale Problems"

Video thumbnail

[BOURBAKI 2019] Estimations de résolvante et localisation du spectre... - Pravda-Starov - 16/10/2019

Pravda-Starov () / 16.11.2019 Estimations de résolvante et localisation du spectre pour certaines classes d’opérateurs pseudo-différentiels semi-classiques non autoadjoints L’objet de l’exposé sera de présenter les travaux de Dencker, Sjöstrandet Zworski sur le pseudo-spectre de cer

From playlist BOURBAKI - 2019

Video thumbnail

Yuri Kordyukov: Adiabatic limits and noncommutative geometry of foliations

We discuss the asymptotic behavior of the eigenvalues of the Laplacian on a Riemannian compact foliated manifold when the metric is blown up in the directions normal to the leaves (in the adiabatic limit). This problem can be considered as an asymptotic spectral problem on the leaf space

From playlist HIM Lectures: Trimester Program "Non-commutative Geometry and its Applications"

Video thumbnail

p-adic approaches to rational points on curves - Poonen - Lecture 4/4 - CEB T2 2019

Bjorn Poonen (Massachusetts Institute of Technology) / 10.07.2019 p-adic approaches to rational points on curves - Lecture 4/4 In these four lectures, I will describe Chabauty's p-adic method for determining the rational points on a curve whose Jacobian has rank less than the genus, hint

From playlist 2019 - T2 - Reinventing rational points

Video thumbnail

Nigel Higson: A counterfactual history of the hypoelliptic Laplacian

Talk by Nigel Higson in Global Noncommutative Geometry Seminar (Europe) http://www.noncommutativegeometry.nl/ncgseminar/ on October 6, 2020.

From playlist Global Noncommutative Geometry Seminar (Europe)

Video thumbnail

Modularity of Galois Representations - Christopher Skinner

Automorphic Forms Christopher Skinner April 4, 2001 Concepts, Techniques, Applications and Influence April 4, 2001 - April 7, 2001 Support for this conference was provided by the National Science Foundation Conference Page: https://www.math.ias.edu/conf-automorphicforms Conference Ag

From playlist Mathematics

Video thumbnail

Tasho Kaletha - 2/2 A Brief Introduction to the Trace Formula and its Stabilization

We will discuss the derivation of the stable Arthur-Selberg trace formula. In the first lecture we will focus on anisotropic reductive groups, for which the trace formula can be derived easily. We will then discuss the stabilization of this trace formula, which is unconditional on the geom

From playlist 2022 Summer School on the Langlands program

Video thumbnail

Math: Partial Differential Eqn. - Ch.1: Introduction (11 of 42) What is the Gradient Operator?

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is a gradient operator. The gradient operator indicates how much the function is changing when moving a small distance in each of the 3 directions. I will write an example of the gradient

From playlist PARTIAL DIFFERENTIAL EQNS CH1 INTRODUCTION

Related pages

Dimension | Mathematics | Stochastic processes and boundary value problems | Elliptic operator | Matrix (mathematics) | Euclidean space | Partial differential equation | Dirichlet problem