Partial differential equations

In the theory of partial differential equations, an a priori estimate (also called an apriori estimate or a priori bound) is an estimate for the size of a solution or its derivatives of a partial differential equation. A priori is Latin for "from before" and refers to the fact that the estimate for the solution is derived before the solution is known to exist. One reason for their importance is that if one can prove an a priori estimate for solutions of a differential equation, then it is often possible to prove that solutions exist using the continuity method or a fixed point theorem. A priori estimates were introduced and named by Sergei Natanovich Bernstein , who used them to prove existence of solutions to second order nonlinear elliptic equations in the plane. Some other early influential examples of a priori estimates include the Schauder estimates given by Schauder , and the estimates given by De Giorgi and Nash for second order elliptic or parabolic equations in many variables, in their respective solutions to Hilbert's nineteenth problem. (Wikipedia).

Learn how to evaluate a limit by factoring

đź‘‰ Learn how to evaluate the limit of a function involving rational expressions. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The limit of a function is usually evaluated by direct subst

From playlist Evaluate the Limit (PC)

(ML 6.1) Maximum a posteriori (MAP) estimation

Definition of maximum a posteriori (MAP) estimates, and a discussion of pros/cons. A playlist of these Machine Learning videos is available here: http://www.youtube.com/view_play_list?p=D0F06AA0D2E8FFBA

From playlist Machine Learning

Ex : Determine The Value of a Derivative using the Limit Definition (Rational)

This video explains how to determine the value of a derivative at a given value of x using the limit definition of the derivative. The results are verified graphically http://mathispower4u.com

From playlist Introduction and Formal Definition of the Derivative

Find a Function and x-value From Limit Definition of the Derivative

This video explains how to determine a function and x-value given the limit definition of the derivative.

From playlist Introduction and Formal Definition of the Derivative

Ex : Determine The Value of a Derivative using the Limit Definition (Quadratic)

This video explains how to determine the value of a derivative at a given value of x using the limit definition of the derivative. The results are verified graphically http://mathispower4u.com

From playlist Introduction and Formal Definition of the Derivative

Evaluating a limit by factoring

đź‘‰ Learn how to evaluate the limit of a function involving rational expressions. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The limit of a function is usually evaluated by direct subst

From playlist Evaluate the Limit (PC)

Optimal State Estimator Algorithm | Understanding Kalman Filters, Part 4

Download our Kalman Filter Virtual Lab to practice linear and extended Kalman filter design of a pendulum system with interactive exercises and animations in MATLAB and Simulink: https://bit.ly/3g5AwyS Discover the set of equations you need to implement a Kalman filter algorithm. Youâ€™ll l

From playlist Understanding Kalman Filters

Evaluate the left hand limit at an asymptote algebraically

đź‘‰ Learn how to evaluate the limit of a function involving rational expressions. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The limit of a function is usually evaluated by direct subst

From playlist Evaluate the Limit (PC)

Evaluate the limit at a hole by factoring

From playlist Evaluate the Limit (PC)

Christian Jutten - Petite visite guidĂ©e de la sĂ©paration de sources

GIPSA-Lab, Prix Science et Innovation 2016 RĂ©alisation technique : Antoine Orlandi (GRICAD) | Tous droits rĂ©servĂ©s

From playlist Des mathĂ©maticiens primĂ©s par l'AcadĂ©mie des Sciences 2017

[BOURBAKI 2017] 17/06/2017 - 3/4 - FrĂ©dĂ©ric ROUSSET

Solutions faibles de l'Ă©quation de Navier-Stokes des fluides compressibles [d'aprĂ¨s A. Vasseur et C. Yu] ---------------------------------- Vous pouvez nous rejoindre sur les rĂ©seaux sociaux pour suivre nos actualitĂ©s. Facebook : https://www.facebook.com/InstitutHenriPoincare/ Twitter :

From playlist BOURBAKI - 2017

Martina Hofmanova: Global solutions to elliptic and parabolic Î¦4 models in Euclidean space

Abstract: I will present some recent results on global solutions to singular SPDEs on â„ťd with cubic nonlinearities and additive white noise perturbation, both in the elliptic setting in dimensions d=4,5 and in the parabolic setting for d=2,3. A motivation for considering these equations is

From playlist Probability and Statistics

Multicontinuum Model for the Wave Equation in a High Contrast Laminated Beam by Gregory Panasenko

DISCUSSION MEETING Multi-Scale Analysis: Thematic Lectures and Meeting (MATHLEC-2021, ONLINE) ORGANIZERS: Patrizia Donato (University of Rouen Normandie, France), Antonio Gaudiello (UniversitĂ degli Studi di Napoli Federico II, Italy), Editha Jose (University of the Philippines Los BaĂ±o

From playlist Multi-scale Analysis: Thematic Lectures And Meeting (MATHLEC-2021) (ONLINE)

Muhammad Hassan - Development of a posteriori error estimates for the coupled cluster equations

Recorded 03 May 2022. Muhammad Hassan of Sorbonne UniversitĂ©, Laboratoire Jacques-Louis Lions, presents "Towards the development of a posteriori error estimates for the coupled cluster equations" at IPAM's Large-Scale Certified Numerical Methods in Quantum Mechanics Workshop. Abstract: Cou

From playlist 2022 Large-Scale Certified Numerical Methods in Quantum Mechanics

Probabilistic inverse problems (Lecture 1) by Daniela Calvetti

DISCUSSION MEETING WORKSHOP ON INVERSE PROBLEMS AND RELATED TOPICS (ONLINE) ORGANIZERS: Rakesh (University of Delaware, USA) and Venkateswaran P Krishnan (TIFR-CAM, India) DATE: 25 October 2021 to 29 October 2021 VENUE: Online This week-long program will consist of several lectures by

From playlist Workshop on Inverse Problems and Related Topics (Online)

Ex 2: Determine a Derivative using The Limit Definition

This video determine the derivative of a basic rational function using the limit definition. It also determines the slope of a tangent line at a given value of x. Complete Video List at http://www.mathispower4u.com

From playlist Introduction and Formal Definition of the Derivative

Philippe Moireau: Data Assimilation: a deterministic vision, theory and applications. Lecture 1

Abstract: The question of using the available measurements to retrieve mathematical models characteristics (parameters, boundary conditions, initial conditions) is a key aspect of the modeling objective in biology or medicine. In a stochastic/statistical framework this question is seen as

From playlist Control Theory and Optimization

Victor Panaretos: The extrapolation of correlation

CONFERENCE Recording during the thematic meeting : "Adaptive and High-Dimensional Spatio-Temporal Methods for Forecasting " the September 29, 2022 at the Centre International de Rencontres MathĂ©matiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks

From playlist Analysis and its Applications

Shannon 100 - 26/10/2016 - Elisabeth GASSIAT

Entropie, compression et statistique Elisabeth Gassiat (UniversitĂ© de Paris-Sud) Claude Shannon est l'inventeur de la thĂ©orie de l'information. Il a introduit la notion d'entropie comme mesure de l'information contenue dans un message vu comme provenant d'une source stochastique et dĂ©mon

From playlist Shannon 100

Ex: Determine the Derivative of a Function Using the Limit Definition (ax^2+bx+c)

This video provides an example of how to determine the derivative of a quadratic function using the limit definition of the derivative.

From playlist Introduction and Formal Definition of the Derivative