Introduction to Modern Analysis of PDEs

(based on the course taught by Anna Kostianko at Imperial College London)

Introduction

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Part I: Distributions

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Anna’s notes 1 2 3 4 5 6

Problems for Part I: pdf Solutions: pdf

Part II: Sobolev spaces and embedding theorems

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Anna’s notes 8 9 10 11 12

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Part III: Linear Elliptic Equations and Spectral Theory

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Part IV: Linear evolution equations

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Part V: Semilinear equations

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Anna’s notes 28-29

MOCK EXAM pdf with SOLUTIONS pdf

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