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Quick Facts

Medium Of InstructionsMode Of LearningMode Of Delivery
EnglishSelf StudyVideo and Text Based

Courses and Certificate Fees

Fees InformationsCertificate AvailabilityCertificate Providing Authority
INR 1000yesIISc 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.

Instructors

A.K. Nandakumaran
Professor

IISc Bangalore

Articles

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