{"product_id":"elliptic-boundary-value-problems-of-second-order-in-piecewise-smooth-domains-volume-69-9780444521095","title":"Elliptic Boundary Value Problems of Second Order in Piecewise Smooth Domains: Volume 69","description":"\u003cp\u003e • Author(s): Michail Borsuk | Vladimir Kondratiev\u003cbr\u003e • Publisher: Elsevier Science\u003cbr\u003e • Publisher Imprint: Elsevier Science\u003cbr\u003e • BISAC: Mechanical\u003c\/p\u003e\u003cp\u003eThe book contains a systematic treatment of the qualitative theory of elliptic boundary value problems for linear and quasilinear second order equations in non-smooth domains. The authors concentrate on the following fundamental results: sharp estimates for strong and weak solutions, solvability of the boundary value problems, regularity assertions for solutions near singular points.\u003c\/p\u003e\u003cp\u003eKey features: \u003c\/p\u003e\u003cp\u003e* New the Hardy - Friedrichs - Wirtinger type inequalities as well as new integral inequalities related to the Cauchy problem for a differential equation.* Precise exponents of the solution decreasing rate near boundary singular points and best possible conditions for this.* The question about the influence of the coefficients smoothness on the regularity of solutions.* New existence theorems for the Dirichlet problem for linear and quasilinear equations in domains with conical points.* The precise power modulus of continuity at singular boundary point for solutions of the Dirichlet, mixed and the Robin problems.* The behaviour of weak solutions near conical point for the Dirichlet problem for m - Laplacian.* The behaviour of weak solutions near a boundary edge for the Dirichlet and mixed problem for elliptic quasilinear equations with triple degeneration.\u003c\/p\u003e","brand":"Elsevier Science","offers":[{"title":"Hardcover","offer_id":46891945656471,"sku":"9780444521095","price":24604.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9780444521095.webp?v=1770277659","url":"https:\/\/atlanticbooks.com\/products\/elliptic-boundary-value-problems-of-second-order-in-piecewise-smooth-domains-volume-69-9780444521095","provider":"Atlantic Books","version":"1.0","type":"link"}