MESSAGES: (as of 10/3/'15) ========================================================================== ========================================================================== Welcome to MATH 710: Topics in Applied Math Nonlinear Functional Analysis This is the "message link": http://userpages.umbc.edu/~seidman/f15/m-710 ========================================================================== ========================================================================= HW 1: Read pages 1-4 of the Notes and prepare some questions about this material. Try Exercise 1.4 (on p.3) ========================================================================= HW 2: Do Exercises 2.7 and 2.8; read through the proof of Theorem 2.5 ========================================================================= HW 3: 1. Check whether the proof of Theorem 2.5 is valid (with only minor modification) if f:X-->Y with X,Y metric spaces, Y connected. [Be careful about the meaning of "f is a local homeomorphism".] 2. Give an example (with psi increasing and satisfying (2.3.15)) to show that the result of Exercise 2.9 (p.13) is false! [Obviously something needs changing. I am now trying to recall why this Exercise was given and what is the "right" result.] ========================================================================= >>>> We are next going to go through the application to the nonlinear Poisson equation (2.3.14), using the material of pages 7--12 as background. HW 4: 1. Reread the material of pages 7--12 and prepare any questions 2. Do Exercise 2.9 (p.13) -- modified to assume psi continuous but omit the uniform bound on the derivative of the approximating psi_epsilon 3. Do Exercise 2.10 (p.13) [assume u is smooth] 4. Look ahead a bit at the proof of the application to see what is involved here ========================================================================= ========================================================================== archive: older items | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | \| |/ \ / V ========================================================================== ========================================================================== >>>> GENERAL INFORMATION & ANNOUNCEMENTS <<<<< ========================================================================== ========================================================================== >>> A complete set of (handwritten) notes is available at http://userpages.umbc.edu/~seidman/f15/NFA_Notes-1993.pdf ========================================================================== >>>>> Bookmark this link (userpages.umbc.edu/~seidman/f14/m-432) which will be one of my consistent ways of communicating with you outside class --- check this often! ========================================================================== ========================================================================== >>> IMPORTANT: If you want to send me things by e-mail, do NOT send them as Word files (.doc or .docx). I will only be able to read them if they are plain text (as in the body of an e-mail) or .pdf files as attachments; sending a .tex source file as a plain text attachment is also acceptable. [Indeed, I recommend learning LaTeX for technical writing.] ========================================================================== >>> The Syllabus will (a bit later) be available at: userpages.umbc.edu/~seidman/f15/710-syllabus-f15.pdf ========================================================================== ========================================================================== >>>> ASSIGNMENTS <<<< ========================================================================= HW 1: Read pages 1-4 of the Notes and prepare some questions about this material. Try Exercise 1.4 (on p.3) ========================================================================== ==========================================================================