KOW Pu Zhao (邱普照)

General Information

• Begins ~ ends: February 17, 2025 ~ June 20, 2025
• Instructor: Pu-Zhao Kow
• Email: pzkow [at] g.nccu.edu.tw
• Office hour: Thursday (16:10 ~ 17:00)
• Teaching Language: Chinese and English
• Lecture Note (main): Pu-Zhao Kow, An introduction to partial differential equations and functional analysis. Note: The lecture note may update during the course.
• Lecture Note (supplementary): Pu-Zhao Kow, Fourier analysis and distribution theory. Note: The lecture note may update during the course.

References

Note. See my lecture note for some more advance monographs.

• H. Brezis, Functional analysis, Sobolev spaces and partial differential equations, Universitext, Springer, New York, 2011. MR2759829, Zbl:1220.46002, doi:10.1007/978-0-387-70914-7
• L. C. Evans, Partial differential equations, volume 19 of Grad. Stud. Math. AMS, Providence, RI, second edition, 2010. MR2597943, Zbl:1194.35001, doi:10.1090/gsm/019
• D. Gilbarg and N. S. Trudinger, Elliptic partial differential equations of second order (reprint of the 1998 edition), volume 224 of Classics in Mathematics, Springer-Verlag Berlin Heidelberg, 2001. MR1814364, Zbl:1042.35002, doi:10.1007/978-3-642-61798-0
• P.-F. Hsieh and Y. Sibuya, Basic theory of ordinary differential equations Universitext, Springer-Verlag, New York, 1999 MR1697415, doi:10.1007/978-1-4612-1506-6
• F. John, Partial differential equations, volume 1 of Appl. Math. Sci., Springer-Verlag, New York-Berlin, third edition, 1978. MR0514404, Zbl:0426.35002

Prerequisite

• Real and complex analysis

Homeworks

• Homework 1: Return to the instructor (via email) by March 6, 2025 (Thursday) 23:59
• Homework 2: Return to the instructor (via email) by March 13, 2025 (Thursday) 23:59
• Homework 3: Return to the instructor (via email) by March 20, 2025 (Thursday) 23:59
• Homework 4: Return to the instructor (via email) by March 27, 2025 (Thursday) 23:59
• Homework 5: Return to the instructor (via email) by April 10, 2025 (Thursday) 23:59
• Homework 6: Return to the instructor (via email) by April 17, 2025 (Thursday) 23:59

Schedule

• The lectures are on Thursday (13:10-16:00) at 志希070116.

Time	Room	Activities
20.02.2025 13:10-16:00	志希070116	Week 1 - Lecture (Thursday): Recall some preliminaries and introducing PDE (in classical sense)
27.02.2025 13:10-16:00	志希070116	Week 2 - No class
06.03.2025 13:10-16:00	志希070116	Week 3 - Lecture (Thursday): Weak derivatives and distribution derivatives [Return Homework 1 by 23:59]
13.03.2025 13:10-16:00	志希070116	Week 4 - Lecture (Thursday) [Return Homework 2 by 23:59]
20.03.2025 13:10-16:00	志希070116	Week 5 - No class [Return Homework 3 by 23:59]
27.03.2025 13:10-16:00	志希070116	Week 6 - Lecture (Thursday) [Return Homework 4 by 23:59]
03.04.2025 13:10-16:00	志希070116	Week 7 - No class: children's day and tomb sweeping day
10.04.2025 13:10-16:00	志希070116	Week 8 - Lecture (Thursday) [Return Homework 5 by 23:59]
17.04.2025 13:10-16:00	志希070116	Week 9 - Lecture (Thursday) [Return Homework 6 by 23:59]
24.04.2025 13:10-16:00	志希070116	Week 10 - No class
01.05.2025 13:10-16:00	志希070116	Week 11 - Lecture (Thursday)
08.05.2025 13:10-16:00	志希070116	Week 12 - Lecture (Thursday)
15.05.2025 13:10-16:00	志希070116	Week 13 - Lecture (Thursday)
22.05.2025 13:10-16:00	志希070116	Week 14 - Lecture (Thursday)
29.05.2025 13:10-16:00	志希070116	Week 15 - Lecture (Thursday)
05.06.2025 13:10-16:00	志希070116	Week 16 - Lecture (Thursday)
12.06.2025 13:10-16:00	志希070116	Week 17 - No class
19.06.2025 13:10-16:00	志希070116	Week 18 - Lecture (Thursday)

Completion

• The course can be taken for credit by attending the lectures, returning written solutions (60%) in LaTeX and giving (at least) 2 presentations (each 20%).