19052 Lecture

SoSe 13: Differentialgleichungen III - Nonlinear parabolic equations

Pavel Gurevich

Comments

Topics:

  1. 1. Sectorial operators. Analytic semigroups
  2. 2. Fractional powers of sectorial operators
  3. 3. Invariant subspaces and exponential bounds
  4. 4. Cauchy problem for linear parabolic equations
  5. 5. Cauchy problem for semilinear parabolic equations. Local existence and uniqueness
  6. 6. Continuous and differentiable dependence of solutions
  7. 7. Lyapunov function
  8. 8. Stability and instability by linear approximation
  9. 9. Saddle-point property (stable/unstable manifold)
  10. 10. Equilibria of the Chafee-Infante problem
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Suggested reading

  1. 1. D. Henry. Geometric theory of semilinear parabolic equations}, Lecture Notes in Mathematics. Vol 840. Berlin-New York, Springer. 1981.
  2. 2. A. Pazy. Semigroups of linear operators and applications to partial differential equations. Appl. Math. Sci., Vol. 44. Springer, New York, 1983.
  3. 3. K. Yosida. Functional Analysis. Berlin-Heidelbert-New York, Springer. 1980.
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13 Class schedule

Regular appointments

Thu, 2013-04-11 10:00 - 12:00

Lecturers:
PD Dr. Pavel Gurevich

Location:
SR 119/A3 Seminarraum (Arnimallee 3-5)

Thu, 2013-04-18 10:00 - 12:00

Lecturers:
PD Dr. Pavel Gurevich

Location:
SR 119/A3 Seminarraum (Arnimallee 3-5)

Thu, 2013-04-25 10:00 - 12:00

Lecturers:
PD Dr. Pavel Gurevich

Location:
SR 119/A3 Seminarraum (Arnimallee 3-5)

Thu, 2013-05-02 10:00 - 12:00

Lecturers:
PD Dr. Pavel Gurevich

Location:
SR 119/A3 Seminarraum (Arnimallee 3-5)

Thu, 2013-05-16 10:00 - 12:00

Lecturers:
PD Dr. Pavel Gurevich

Location:
SR 119/A3 Seminarraum (Arnimallee 3-5)

Thu, 2013-05-23 10:00 - 12:00

Lecturers:
PD Dr. Pavel Gurevich

Location:
SR 119/A3 Seminarraum (Arnimallee 3-5)

Thu, 2013-05-30 10:00 - 12:00

Lecturers:
PD Dr. Pavel Gurevich

Location:
SR 119/A3 Seminarraum (Arnimallee 3-5)

Thu, 2013-06-06 10:00 - 12:00

Lecturers:
PD Dr. Pavel Gurevich

Location:
SR 119/A3 Seminarraum (Arnimallee 3-5)

Thu, 2013-06-13 10:00 - 12:00

Lecturers:
PD Dr. Pavel Gurevich

Location:
SR 119/A3 Seminarraum (Arnimallee 3-5)

Thu, 2013-06-20 10:00 - 12:00

Lecturers:
PD Dr. Pavel Gurevich

Location:
SR 119/A3 Seminarraum (Arnimallee 3-5)

Thu, 2013-06-27 10:00 - 12:00

Lecturers:
PD Dr. Pavel Gurevich

Location:
SR 119/A3 Seminarraum (Arnimallee 3-5)

Thu, 2013-07-04 10:00 - 12:00

Lecturers:
PD Dr. Pavel Gurevich

Location:
SR 119/A3 Seminarraum (Arnimallee 3-5)

Thu, 2013-07-11 10:00 - 12:00

Lecturers:
PD Dr. Pavel Gurevich

Location:
SR 119/A3 Seminarraum (Arnimallee 3-5)

Subjects A - Z