{"product_id":"sobolev-and-viscosity-solutions-for-fully-nonlinear-elliptic-and-parabolic-equations-9781470447403","title":"Sobolev and Viscosity Solutions for Fully","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eConcentrates on first boundary-value problems for fully nonlinear second-order uniformly elliptic and parabolic equations with discontinuous coefficients. The authors look for solutions in Sobolev classes, or for viscosity solutions. Most of the auxiliary results are taken from old sources, and the main results were obtained in the last few years.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cul\u003e\n\u003cli\u003eBellman's equations with constant ``coefficients'' in the whole space\u003c\/li\u003e\n\u003cli\u003eEstimates in $L_p$ for solutions of the Monge-Ampere type equations\u003c\/li\u003e\n\u003cli\u003eThe Aleksandrov estimates\u003c\/li\u003e\n\u003cli\u003eFirst results for fully nonlinear equations\u003c\/li\u003e\n\u003cli\u003eFinite-difference equations of elliptic type\u003c\/li\u003e\n\u003cli\u003eElliptic differential equations of cut-off type\u003c\/li\u003e\n\u003cli\u003eFinite-difference equations of parabolic type\u003c\/li\u003e\n\u003cli\u003eParabolic differential equations of cut-off type\u003c\/li\u003e\n\u003cli\u003eA priori estimates in $C^\\alpha$ for solutions of linear and nonlinear equations\u003c\/li\u003e\n\u003cli\u003eSolvability in $W^2_{p,\\mathrm{loc}}$ of fully nonlinear elliptic equations\u003c\/li\u003e\n\u003cli\u003eNonlinear elliptic equations in $C^{2+\\alpha}_{\\mathrm{loc}}(\\Omega)\\cap C(\\overline{\\Omega})$\u003c\/li\u003e\n\u003cli\u003eSolvability in $W^{1,2}_{p,\\mathrm{loc}}$ of fully nonlinear parabolic equations\u003c\/li\u003e\n\u003cli\u003eElements of the $C^{2+\\alpha}$-theory of fully nonlinear elliptic and parabolic equations\u003c\/li\u003e\n\u003cli\u003eNonlinear elliptic equations in $W^2_p(\\Omega)$\u003c\/li\u003e\n\u003cli\u003eNonlinear parabolic equations in $W^{1,2}_p$\u003c\/li\u003e\n\u003cli\u003e$C^{1+\\alpha}$-regularity of viscosity solutions of general parabolic equations\u003c\/li\u003e\n\u003cli\u003e$C^{1+\\alpha}$-regularity of $L_p$-viscosity solutions of the Isaacs parabolic equations with almost VMO coefficients\u003c\/li\u003e\n\u003cli\u003eUniqueness and existence of extremal viscosity solutions for parabolic equations\u003c\/li\u003e\n\u003cli\u003eAppendix A. Proof of Theorem 6.2.1\u003c\/li\u003e\n\u003cli\u003eAppendix B. Proof of Lemma 9.2.6\u003c\/li\u003e\n\u003cli\u003eAppendix C. Some tools from real analysis\u003c\/li\u003e\n\u003cli\u003eBibliography\u003c\/li\u003e\n\u003cli\u003eIndex\u003c\/li\u003e\n\u003cli\u003e\u003cul\u003e\u003c\/ul\u003e\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"MP-AMM American Mathematical","offers":[{"title":"Default Title","offer_id":50041329451351,"sku":"9781470447403","price":103.5,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781470447403.jpg?v=1740182530","url":"https:\/\/bookcurl.com\/products\/sobolev-and-viscosity-solutions-for-fully-nonlinear-elliptic-and-parabolic-equations-9781470447403","provider":"Book Curl","version":"1.0","type":"link"}