Regularity Theory for Mean Curvature Flow

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Focusing on singularities in mean curvature flow, this book explores mathematical techniques essential for understanding these phenomena. It highlights the foundational contributions of K. Brakke and connects to recent advancements in regularity theory for minimal surfaces, referencing key works by Allard and de Giorgi. The text delves into the implications of curvature flows in mathematical physics, including the Penrose conjecture in general relativity, making it a vital resource for researchers in the field.