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Advanced Course on Partial Differential Equations - II
Get updates on Eligibility, Admission, Placements Fees Structure
Quick Facts
| Medium Of Instructions | Mode Of Learning | Mode Of Delivery |
|---|---|---|
| English | Self Study | Video and Text Based |
Courses and Certificate Fees
| Fees Informations | Certificate Availability | Certificate Providing Authority |
|---|---|---|
| INR 1000 | yes | IISc Bangalore |
The Syllabus
- Elliptic equations: Weak (Generalized) solutions of boundary value problems. Existence and Uniqueness results
- Eigenvalues and eigenfunctions. Variational properties – Rayleigh-Ritz quotient
- Asymptotic behavior of eigenvalues. Non-homogeneous boundary values
- Regularity results. Smoothness of weak solutions
- Evolution equations. Abstract formulation. Semi-group theory. Hille-Yosida theorem (Only statements of the main results)
- Parabolic and Hyperbolic equations
- Schrodinger equation
- Perturbation results. Schrodinger equation with a potential.
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