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    Quick Facts

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

    Important dates

    Course Commencement Date

    Start Date : 16 Feb, 2026

    End Date : 10 Apr, 2026

    Certificate Exam Date

    Start Date : 24 Apr, 2026

    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.

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