D. Oliveira e Silva: Some Sharp Strichartz Inequalities
Abstract: It has long been understood that Strichartz estimates for the homogeneous Schrödinger equation correspond to adjoint Fourier restriction estimates on the paraboloid. The study of extremizers and sharp constants for the corresponding inequalities has a short but rich history. In t
From playlist Follow-up Workshop to TP "Harmonic Analysis and Partial Differential Equations"
Roland Donninger: Strichartz estimates for the one-dimensional wave equation
Abstract: I will report on work in progress with Irfan Glogic on one-dimensional wave evolution in hyperboloidal coordinates. We prove a set of Strichartz estimates for equations perturbed by a general potential. I will also outline possible applications, e.g. Yang-Mills fields on wormhole
From playlist Follow-up Workshop to TP "Harmonic Analysis and Partial Differential Equations"
Sagun Chanillo: Borderline Sobolev Inequalities on Symmetric Spaces with Applications
The lecture was held within the framework of the Hausdorff Trimester Program: Evolution of Interfaces. Abstract: Bourgain and Brezis proved the following remarkable estimate: Consider the equation, −∆u = f where f : R^n → R^n is a vector field with zero divergence. Further u : R^n → R^n an
From playlist HIM Lectures: Trimester Program "Evolution of Interfaces"
Piero D'ANCONA - Equivariant wave maps on a class of rotationally symmetric manifolds
Joint work with Qidi Zhang (Shanghai). We study a class of rotationally invariant manifolds, which we call admissible, on which it is possible to prove smoothing and Strichartz estimates for the wave equation. This class includes asymptotically flat manifolds but
From playlist Trimestre "Ondes Non Linéaires" - May Conference
Decoupling in harmonic analysis and applications to number theory - Jean Bourgain
Jean Bourgain IBM von Neumann Professor, School of Mathematics March 23, 2015 Decoupling inequalities in harmonic analysis permit to bound the Fourier transform of measures carried by hyper surfaces by certain square functions defined using the geometry of the hyper surface. The original
From playlist Mathematics
The Schrodinger equations as inspiration of beautiful mathematics - Gigliola Staffilani
Analysis Seminar Topic: The Schrodinger equations as inspiration of beautiful mathematics Speaker: Gigliola Staffilani Affiliation: Massachusetts Institute of Technology Date: May 24, 2021 In the last two decades great progress has been made in the study of dispersive and wave equations.
From playlist Mathematics
Modulation Spaces and Applications to Hartree-Fock Equations by Divyang Bhimani
We discuss some ongoing interest (since last decade) in use of modulation spaces in harmonic analysis and its connection to nonlinear dispersive equations. In particular, we shall discuss results on Hermite multiplier and composition operators on modulation spaces. As an application to the
From playlist ICTS Colloquia
Fabrice Planchon: The wave equation on a model convex domain revisited
Abstract: We detail how the new parametrix construction that was developped for the general case allows in turn for a simplified approach for the model case and helps in sharpening both positive and negative results for Strichartz estimates. Recording during the thematic meeting "French-A
From playlist Partial Differential Equations
Solving an Absolute Value Equation
Learn how to solve absolute value equations with multiple steps. Absolute value of a number is the positive value of the number. For instance, the absolute value of 2 is 2 and the absolute value of -2 is also 2. To solve an absolute value equation where there are more terms apart from the
From playlist Solve Absolute Value Equations
Solving an Absolute Value Equations
Learn how to solve absolute value equations with multiple steps. Absolute value of a number is the positive value of the number. For instance, the absolute value of 2 is 2 and the absolute value of -2 is also 2. To solve an absolute value equation where there are more terms apart from the
From playlist Solve Absolute Value Equations
In this video (which I made up on the spot!), I calculate the Stieltjes integral of x from 0 to 1 with alpha(x) = x^2. That integral is a nice generalization of the Riemann integral and closely resembles it. Then I show how those integrals are similar in the case alpha is smooth, and final
From playlist Real Analysis
Learn How To Solve an Absolute Value Equation
Learn how to solve absolute value equations with multiple steps. Absolute value of a number is the positive value of the number. For instance, the absolute value of 2 is 2 and the absolute value of -2 is also 2. To solve an absolute value equation where there are more terms apart from the
From playlist Solve Absolute Value Equations
Solving an Absolute Value Equation
Learn how to solve absolute value equations with multiple steps. Absolute value of a number is the positive value of the number. For instance, the absolute value of 2 is 2 and the absolute value of -2 is also 2. To solve an absolute value equation where there are more terms apart from the
From playlist Solve Absolute Value Equations
How Do You Solve an Absolute Value Equation when Equal to a Negative Number
Lean how to solve absolute value equations. Absolute value of a number is the positive value of the number. For instance, the absolute value of 2 is 2 and the absolute value of -2 is also 2. To solve an absolute value equations we need to create the two cases: the positive case and the neg
From playlist Solve Absolute Value Equations
Try To Solve an Absolute Value Equation when There Is No Solution
Learn how to solve absolute value equations with multiple steps. Absolute value of a number is the positive value of the number. For instance, the absolute value of 2 is 2 and the absolute value of -2 is also 2. To solve an absolute value equation where there are more terms apart from the
From playlist Solve Absolute Value Equations
Solving a multi step absolute value equation
Learn how to solve absolute value equations with extraneous solutions. Absolute value of a number is the positive value of the number. For instance, the absolute value of 2 is 2 and the absolute value of -2 is also 2. To solve an absolute value problem, we first isolate the absolute value
From playlist Solve Absolute Value Equations
Solving an Absolute Value Equation
Lean how to solve absolute value equations. Absolute value of a number is the positive value of the number. For instance, the absolute value of 2 is 2 and the absolute value of -2 is also 2. To solve an absolute value equations we need to create the two cases: the positive case and the neg
From playlist Solve Absolute Value Equations
Ruby On Ales 2015 - Estimation Blackjack and Other Games: a Comedic Compendium
By, Amy Unger Running a good estimation meeting is hard. It’s easy to get lost in the weeds of implementation, and let weird social interactions slip into our estimating process. You, too, may have played Estimation Blackjack without realizing it, being “out” if you give an estimate higher
From playlist Ruby on Ales 2015
Introduction to Estimation Theory
http://AllSignalProcessing.com for more great signal-processing content: ad-free videos, concept/screenshot files, quizzes, MATLAB and data files. General notion of estimating a parameter and measures of estimation quality including bias, variance, and mean-squared error.
From playlist Estimation and Detection Theory
Solving a One Step Absolute Value Equation
Lean how to solve absolute value equations. Absolute value of a number is the positive value of the number. For instance, the absolute value of 2 is 2 and the absolute value of -2 is also 2. To solve an absolute value equations we need to create the two cases: the positive case and the neg
From playlist Solve Absolute Value Equations