{"product_id":"9783037191231","title":"Local Function Spaces, Heat and Navier-Stokes Equations","description":"\u003cp\u003eIn this book a new approach is presented to exhibit relations between Sobolev spaces, Besov spaces, and Holder-Zygmund spaces on the one hand and Morrey-Campanato spaces on the other. Morrey-Campanato spaces extend the notion of functions of bounded mean oscillation. These spaces play an important role in the theory of linear and nonlinear PDEs. Chapters 1-3 deal with local smoothness spaces in Euclidean $n$-space based on the Morrey-Campanato refinement of the Lebesgue spaces. The presented approach relies on wavelet decompositions. This is applied in Chapter 4 to Gagliardo-Nirenberg inequalities. Chapter 5 deals with linear and nonlinear heat equations in global and local function spaces. The obtained assertions about function spaces and nonlinear heat equations are used in Chapter 6 to study Navier-Stokes equations. The book is addressed to graduate students and mathematicians with a working knowledge of basic elements of (global) function spaces and an interest in applications to nonlinear PDEs with heat and Navier-Stokes equations as prototypes.\u003c\/p\u003e","brand":"European Mathematical Society","offers":[{"title":"Default Title","offer_id":47044580016368,"sku":"9783037191231","price":84.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9783037191231_p0.jpg?v=1763711590","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9783037191231","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}