Burdzy, KrzysztofBanuelos, Rodrigo2005-11-282005-11-281999-05-10Banuelos, R. & K. Burdzy. On the "hot spots" conjecture of J. Rauch. Journal of Functional Analysis, 164(1), 1-33.http://hdl.handle.net/1773/2195We will state several rigorous versions of J. Rauch's "hot spots" conjecture, review some known results, and prove the conjecture under some additional assumptions. Let us, however, first observe that the conclusion cannot hold for all initial conditions.262736 bytesapplication/pdfen-USheat equationNeumann boundary conditionshot spotsArticle