What is a Lipschitz condition?

[@zonglangfrancis9794]

This is a great way to simplify a concept. Thanks a lot, Dr. Chris.

[@DrChrisTisdell]

Thanks for the comment. The book will be published by Springer (and I expect there will be an ebook version.) Best wishes.

[@meenap3290]

Semma sir .your explanation is good.I just liket english.bacase my education=12th=tamil mediam sir. Clg=English mediam(maths).. But your explanation is perfact sir..clear simlify sir

[@seyeeet8063]

what book?

[@nimraakram3539]

Sir is the converse of lemma 1 exist?? If not than why? Can you help

[@maurapintor7380]

Thank you! Awesome and clear explanation, not too long and very helpful! Understandable language for Italians, too :)

[@ThePlec]

Amazing how you simplify such a thing that has eluded my understanding for almost a year. :-)

[@cieloestelaramirezdearella1912]

same thing here haha. this guy made and excellent vid

[@gauravkumawat5756]

Sir, this was very nice way to show the explanation of a very much complex topic, very much happy to find first time the meaning of this, hats off to you sir

[@junaidjawaid547]

Thank you Dr. Tisdell for taking out the time to make this video. It really cleared my concept and was helpful to me and so many other.

[@TheSarmientos123]

Dr. Tisdell thank you very much. An extremely thankful math student from Norway. Sergio.

[@pranaowalekar]

the lecture was awesome. cleared my concepts in one go. keep up the good work!

[@nesta7774]

Excellent presentation. Very precise and plenty of examples. Much appreciated!

[@amargupta7123]

awesome content has been presented in this video, very less resources are there for clear explanation. Thanks Dr Chris

[@theproofessayist8441]

You could mention to help your presentation when you went over the example of two functions added where the trigonometric function is added with a polynomial function that the derivative is a linear transformation so we can examine bit by bit and that because cosine is bounded between unit circle from -1

[@howtomath4398]

The trig function in this example is a function of t. And its partial derivative w.r.t y equals 0.

[@sathyam909]

Sir kindly explain the Lipchitz cond for x^3(e^xy^2), o

[@littlewhitebutterflies4586]

So basically, the Lipschitz condition states that if the maximum rate of change is K, then the maximum possible change in the output is what it would be given the rate of change over the entire interval is its maximum value K. Lol, this is actually a lot less confusing than it appears to be. Thank you for the explanation!

[@omkar.c.kadale]

Thank you so much Dr chris for the video you cleared my doubt in too simple way

[@md.alamgirhossain3980]

really helpful.Respect from Bangladesh

[@nardiverbanac6714]

Dear dr. Tisdell, could You make an example for the calculation of a Lipschitz constant for a vector valued function?

[@vijaysinghchauhan7079]

very simplistically explained the concept.

[@tranducthien1987]

Thank you very much Dr. Chris for the useful video.

[@proman1012]

Thanks sir...I want to be a theoritical physicist.....this lecture was very helpful for me

[@meenap3290]

Semma sir.explanatione is good._(my mother language tamil).english =just dificalut .but....your explanation is realy very perfact

[@gracemisere6994]

Waaaaw, i like this, the explanation is so clear.Thank you for this

[@GAGANDEEP87]

Thank you Dr. Tisdell. This is an awesome and very clear explanation of the concept.

[@200AFK]

Thank you for your effort and for the explanation!

[@juanvaldez4169]

Beautiful presentation, sir. Thank you!

[@zakharypatrew6069]

would be great to hear how this relates to complete vector fields

[@iordanmares4414]

Thanks for your video Dr. Tisdell, but, please, when you finally launch your book, let us know where we can buy it.... Thanks again!!!

[@gkurosaki17]

Thank you very much, i needed an explanation like this to keep going on my studies.

[@msudandevkota6797]

Awesome sir. I want to do my PhD under your supervision, sir. How can I contact you?

[@Krishnajha20101]

How is the infinite strip not a convex set(in the context of line joining the two points being in the set D)?

[@Steve-gk3gz]

Thank you, nice presentation

[@harpreetmehra5165]

Hii,your video is very helpful .thank you so much

[@nikhil8002]

Thank you chris. Can you post a lecture on method of successive approximation?

[@rakhi_prajapati]

respected teacher if you don't mind, pls upload some vedioes based on existence and uniqueness theorems of ordinary differential equations say 1. couchy Euler theorem 2. couchy peano existence theorem...etc

[@philippos4330]

I very much appreciated this presentation. But I got quite confused by the use of two different variables for the vertical axis; namely, y and p (see, e.g., the example around @10:00). Is there a particular reason for that, and if yes, why then we still use one variable (namely: t) for the other axis?

[@DrChrisTisdell]

I am glad you can understand it now.

[@ProfessionalTycoons]

this is very great presentation.

[@TheWameedh]

Thank you for this clear lecture

[@manojsiyag3271]

lot of thx sir i really understand deeply this topic today

[@JunO-tq6td]

Thank you. Your video was very useful, but i would appreciate if you could explain me why at 8:17 you put an absolute value and at the same time you put an inequallity.

[@JunO-tq6td]

I mean before 8:17, inside the integral

[@Shujaat-Khan]

Thank you so much for this useful video.

[@mathuniverseonline]

Good explanation 👌

[@GerardoFloresC]

Hi Dr Chris Tisdell, Could you provide us the PDF file "What is a Lipschitz condition?" please? Thanks in advance.

[@wihenao]

I find a problem with example 1 on 4:37 . When you take two points (t, u) and (t, v). you're constraining yourself to a line. Not to R^2. You only proved lipschitz continuity in one direction. You would need to also prove that two points (t, u) and (z, u) satisty lipschitz continuity. unfortunately this is not true since t^2 does not have a constrained derivative

[@DrChrisTisdell]

Hi - there is no problem. I do not claim that this $f$ is Lipschitz in both variables. Rather, I claim that it is Lipschitz in the second variable only. Best wishes.

[@wihenao]

Dr Chris Tisdell Oh. I see. You DO mention that. But the sheet states D = R^2 which leads to my confusion

[@DrChrisTisdell]

Wilmer Henao Great. If you look at the way I define a Lipschitz condition in (2) then D = R^2 is OK. ;-)

[@DrChrisTisdell]

Yeidy Henao My pleasure!

[@ThomasBarry95]

Excellent thank you! Any news on your book?

[@jayjayf9699]

so the lipschitz condition is just saying that the if the integral of the dependant function converges then the differential equation has a solution, as if you integrate and then find out that the integral doesn't converge then you wont get a solution, right?

[@yx4474]

Thank you very very much for your clear explanation

[@prakhargarg8826]

mid sems cming up, saved me. Muchas Gracias!

[@cieloestelaramirezdearella1912]

Awesome explanation! thank u very much

[@shihaowang152]

excellent example and explanation! thx a lot!

[@张飞-s3k]

your video is very helpful for me ,thank you very much

[@ME135Project]

Can we download the slides/handouts so we can follow along with you in the video?

[@AxiomTutor]

Interesting how pen and paper is still better than most presentations using digital pens.

[@الدلاتلبلا]

What is different between local and global lipschtize condition

[@bryanlinkhunt6063]

At about 2:36 you give a reference to Lipschitz' paper of 1876. However, the bibliography entry gives the wrong article. It should be Sur la possibilité d'intégrer complètement un système donné d'équations différentielles, from Bulletin des Sciences Mathématiques et Astronomiques, vol. 10.

[@sinaasadiyan]

great explanation

[@seyeeet8063]

is it part of a playlist? if so can you tell me the link for the playlist?

[@DrChrisTisdell]

My pleasure and best wishes to all in Norway.

[@DrChrisTisdell]

Thanks and good luck with Lipschitz conditions.

[@contnuum1607]

Dr. Chris, Are there English translations of those papers by Picard or Lipschitz or Lindelof available?

[@bonzoandzoso]

Love your videos!

[@jeremie4174]

Really clear explanations thank you sir

[@DrChrisTisdell]

Thank you!

[@BV2]

Hi, I have a question, What does a rectangle? R:={(t,p): tϵ[a,b] , |p-A|

[@TheMadRunner00]

Hi, Could you please make a presentation about Sobolev spaces and weak formulation?

[@msleena5904]

I need an explanation of the book of convex functions and orlicz spaces can you help me

[@tnaduc]

Dr. Chris, Thank for the nice video about Lipschitz. As Lipschitz condition is "stronger" than continuity but weaker than discontinuity. So how does it look like in picture? (continuity is like drawing a line without removing the pen from paper). Thanks.

[@MichaelJacobMathew]

I think one should draw with a finite speed (lipchitz constant)... Too much rate of increase would make your lipchitz constant tend to infinity (like a step change). This is just my idea. Any comments are welcome.

[@tnaduc]

Micheal, I got your point. But a step change (I assume you're talking about a jump) is discontinuous, i.e, not different than usual continuity. What I want to know is a situation that differentiates Lipschitz continuity and usual continuity. Probably where the rate of change is equal to infinity but still continuous. I haven't figure out how yet.

[@MichaelJacobMathew]

Duc, How about y = x^(1/3) at x = 0; Here when you try to take a neighborhood at x = 0, you find that the rate of increase of the function is approaching infinity while the function is perfectly continuous at x = 0.

[@tnaduc]

Michael Jacob Mathew Nice. I got it. Thank you for following up. Great.

[@DrChrisTisdell]

Hi - I hope to publish a book this year with some of the material therein. Thanks!

[@m-for-maths6910]

nice example.. plz suggest me good book for this

[@DrChrisTisdell]

Hi - thanks. Actually, I will be publishing a book about this with Springer in 2015. If you can't wait until then, then I suggest any book by Earl Coddington.

[@m-for-maths6910]

thnx....

[@m-for-maths6910]

8423015701

[@firkka]

Thanks alot. Very nice examples.

[@DrChrisTisdell]

My pleasure!

[@g-abeshawel9603]

the rectangle what do you mean

[@DrChrisTisdell]

Hi - thanks! Good luck with your exam!

[@jamesang7861]

Yay, a lecturer from my alma mater! =)

[@harsharajkamal3433]

gd way of explaining by using examples

[@nmana9759]

I don't understand, how did you conclude that the function does not satisfy Lipschitz from the equation 12:45 ??

[@PRICEGWX]

This is brilliant, thank you. Can we download the slides anywhere? Please? :P

[@DrChrisTisdell]

Yes, I plan to get to Sobolev spaces eventually.

[@mohammedtalha4649]

Thank you. Very intuitive

[@DrChrisTisdell]

Hi - sorry but I don't understand your question. Can you re-state the question?

[@DontLookLikeAFool]

Thank You so Much! Your videos helps a lot!

[@DrChrisTisdell]

You are very welcome.

[@shaurovdas5842]

Where do I find this pdf? Thank you.

[@DrChrisTisdell]

Hi - I will be launching a new book soon with some of the material therein!

[@g-abeshawel9603]

thank you very much

[@aidairguedi1359]

سلام استاد من افضلك اريد pdf لهدا الدرس

[@شیعہمعارف]

Thank you 💗

[@mkuseligobo5585]

Thanks for your video Dr. Tisdell, that was usefull.

[@ShaymaAdil-r6s]

very good

[@allwanamar1]

you are wonderful !

[@laxmimishra6012]

a very very thanks sir

[@aidairguedi1359]

استاد احتاج هده pdf

[@tammineniharinarayana6978]

thank you sir

[@rhyswells8725]

maths is great :)

[@mathveeresh168]

Hi again everyone My mathematics mind eigen every one

[@estefanovignetta7824]

Thanks!

[@sandeepkhod9038]

Thanks

[@akashsuryawanshi6267]

Thanks you the a god.

[@ricardoavila1590]

i do not undersand comparison lemma

[@DrChrisTisdell]

:-)

[@greenergrass4060]

pop six squish uhuh cicero lipschiz

[@djcrazy2685]

lipschitz condition, they couldn't say a math or calculas condition!!