Partial differential equations

Lewy's example

In the mathematical study of partial differential equations, Lewy's example is a celebrated example, due to Hans Lewy, of a linear partial differential equation with no solutions. It shows that the analog of the Cauchy–Kovalevskaya theorem does not hold in the smooth category. The original example is not explicit, since it employs the Hahn–Banach theorem, but there since have been various explicit examples of the same nature found by . The Malgrange–Ehrenpreis theorem states (roughly) that linear partial differential equations with constant coefficients always have at least one solution; Lewy's example shows that this result cannot be extended to linear partial differential equations with polynomial coefficients. (Wikipedia).

Video thumbnail

Equivalence Relations Definition and Examples

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Equivalence Relations Definition and Examples. This video starts by defining a relation, reflexive relation, symmetric relation, transitive relation, and then an equivalence relation. Several examples are given.

From playlist Abstract Algebra

Video thumbnail

Quotient group example

Now that we know what a quotient group is, let's take a look at an example to cement our understanding of the concepts involved.

From playlist Abstract algebra

Video thumbnail

C36 Example problem solving a Cauchy Euler equation

An example problem of a homogeneous, Cauchy-Euler equation, with constant coefficients.

From playlist Differential Equations

Video thumbnail

Linear Transformation Examples

Some examples and nonexamples of linear transformations

From playlist Linear Algebra

Video thumbnail

Group action examples

In this video I demonstrate an example of a non-faithful group actions, where the identity permutation is actually mapped to by all the elements in the group set. Another example shows you how group actions involving a group set on itself gives rise to group element composition as we see

From playlist Abstract algebra

Video thumbnail

Jacobian matrix example

Gentle example showing how to compute the Jacobian. Free ebook http://tinyurl.com/EngMathYT

From playlist Several Variable Calculus / Vector Calculus

Video thumbnail

Representations of Finite Groups | A few more common examples.

We present a few more common examples of representations of finite groups. These include cyclic groups, dihedral groups, the quaternions, and the symmetric group. Please Subscribe: https://www.youtube.com/michaelpennmath?sub_confirmation=1 Personal Website: http://www.michael-penn.net R

From playlist Representations of Finite Groups

Video thumbnail

IB HL Lewis Acids and Bases

IB HL Chemistry lesson on Lewis acids and bases

From playlist IB Chemistry

Video thumbnail

IB HL Chemistry Acids and bases Topic 18.1 Lewis acids and bases

IB HL Chemistry Acids and bases Topic 18.1 Lewis acids and bases A focused discussion on defining acids with the Lewis definition giving examples. Full set of resources for topic 8: http://www.mrwengibchemistry.com 0:10 Lewis acids and bases 2:44 Hydronium ion 4:08 Dative coordinate bon

From playlist Topic 8/18 Acids and bases

Video thumbnail

Lewis Acids and Bases

This organic chemistry video tutorial provides a basic introduction into lewis acids and bases. It explains how to predict the products of a lewis acid-base reaction. Organic Chemistry 1 Review - 100 Practice Problems: https://bit.ly/2WCJ8GP New Organic Chemistry Playlist https://www

From playlist New Organic Chemistry Playlist

Video thumbnail

B21 Example problem

Another example problem solving a system of first-order, autonomous ODE's using sympy

From playlist A Second Course in Differential Equations

Video thumbnail

Organic Chemistry 51A. Lecture 07. Lewis Acids, Lewis Bases, and Organic Reaction Mechanisms.

UCI Chem 51A Organic Chemistry (Fall 2009) Lec 07. Organic Chemistry -- Lewis Acids, Lewis Bases, and Organic Reaction Mechanisms View the complete course: http://ocw.uci.edu/courses/chem_51a_organic_chemistry.html Instructor: James Nowick, Ph.D. License: Creative Commons BY-NC-SA Terms o

From playlist Chem 51A: Organic Chemistry

Video thumbnail

How To Draw Lewis Structures

This chemistry video provides a basic introduction into how to draw lewis structures of common molecules such as Cl2, O2, OF2, CH4, NH3, H2O, C2H2, and N2H4. It contains a few examples and practice problems. My E-Book: https://amzn.to/3B9c08z Video Playlists: https://www.video-tutor.

From playlist New AP & General Chemistry Video Playlist

Video thumbnail

Acids and Bases - Basic Introduction - Organic Chemistry

This video provides a basic introduction into acids and bases with reference to organic chemistry. It explains how to write acid base reactions as well as how to determine the conjugate acid and the conjugate base. It covers the brownsted lowry definition of acids and bases as well as th

From playlist New Organic Chemistry Playlist

Video thumbnail

Conjugate Acid Base Pairs, Arrhenius, Bronsted Lowry and Lewis Definition - Chemistry

This chemistry video tutorial explains the concept of acids and bases using the arrhenius definition, bronsted - lowry and lewis acid base definition. It also shows you how to identify conjugate acid base pairs. This video contains plenty of examples and practice problems. Chemistry Tex

From playlist New AP & General Chemistry Video Playlist

Video thumbnail

3 Varieties of Philosophical Skepticism - The Given & C. I. Lewis

In this third lecture, James Conant continues to discuss and contrast Cartesian skepticism with Kantian skepticism, but particularly focuses on Kantian issues of perception through the work of C. I. Lewis. In this series of lectures on varieties of philosophical skepticism, James Conant d

From playlist Varieties of Philosophical Skepticism - Cartesian vs Kantian

Video thumbnail

4 Varieties of Philosophical Skepticism - Kantian Skepticism

In this fourth lecture, James Conant continues to discuss and contrast Cartesian skepticism with Kantian skepticism, but particularly focuses on Kantian issues of perception and knowledge, and continues to discuss such via the work of C. I. Lewis. Unfortunately the audio isn't that good in

From playlist Varieties of Philosophical Skepticism - Cartesian vs Kantian

Video thumbnail

Chemistry 107. Inorganic Chemistry. Lecture 16

UCI Chemistry: Inorganic Chemistry (Fall 2014) Lec 16. Inorganic Chemistry -- Nature of the Adduct View the complete course: http://ocw.uci.edu/courses/chem_107_inorganic_chemistry.html Instructor: Matthew D. Law License: Creative Commons CC-BY-SA Terms of Use: http://ocw.uci.edu/info Mor

From playlist Chem 107: Week 6

Video thumbnail

Gradient identities example

Example on gradient identities for functions of two variables.

From playlist Engineering Mathematics

Related pages

Hans Lewy | Hahn–Banach theorem | Chain complex | Mathematics | CR manifold | Sheaf (mathematics) | Partial differential equation | Malgrange–Ehrenpreis theorem | Complex manifold