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Variational and Diffusion Problems in Random Walk Spaces

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Variational and Diffusion Problems in Random Walk Spaces - Mazón, José M., and Solera-Diana, Marcos, and Toledo-Melero, J. Julián
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This book presents the latest developments in the theory of gradient flows in random walk spaces. A broad framework is established for a wide variety of partial differential equations on nonlocal models and weighted graphs. Within this framework, specific gradient flows that are studied include the heat flow, the total variational flow, and evolution problems of Leray-Lions type with different types of boundary conditions. With many timely applications, this book will serve as an invaluable addition to the literature in ...

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Variational and Diffusion Problems in Random Walk Spaces 2023, Birkhauser Verlag AG, Basel

ISBN-13: 9783031335839

Hardcover