{"product_id":"9781461479338","title":"Harnack Inequalities for Stochastic Partial Differential Equations","description":"​In this book the author presents a self-contained account of Harnack inequalities and applications for the semigroup of solutions to stochastic partial and delayed differential equations. Since the semigroup refers to Fokker-Planck equations on infinite-dimensional spaces, the Harnack inequalities the author investigates are dimension-free. This is an essentially different point from the above mentioned classical Harnack inequalities. Moreover, the main tool in the study is a new coupling method (called coupling by change of measures) rather than the usual maximum principle in the current literature.","brand":"Springer New York","offers":[{"title":"Default Title","offer_id":47027050610928,"sku":"9781461479338","price":49.99,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9781461479338_p0.jpg?v=1765233290","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9781461479338","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}