{"product_id":"singular-solutions-of-nonlinear-elliptic-and-parabolic-equations","title":"Singular Solutions of Nonlinear Elliptic and Parabolic Equations","description":"\u003cp\u003eThis monograph looks at several trends in the investigation of singular solutions of nonlinear elliptic and parabolic equations. It discusses results on the existence and properties of weak and entropy solutions for elliptic second-order equations and some classes of fourth-order equations with L1-data and questions on the removability of singularities of solutions to elliptic and parabolic second-order equations in divergence form. It looks at localized and nonlocalized singularly peaking boundary regimes for different classes of quasilinear parabolic second- and high-order equations in divergence form.\u003cbr\u003eThe book will be useful for researchers and post-graduate students that specialize in the field of the theory of partial differential equations and nonlinear analysis.\u003cbr\u003e\u003cbr\u003e\u003cstrong\u003eContents:\u003cbr\u003e\u003c\/strong\u003eForeword\u003cbr\u003e\u003cstrong\u003ePart I: Nonlinear elliptic equations with L^1-data\u003c\/strong\u003e\u003cbr\u003eNonlinear elliptic equations of the second order with L^1-data\u003cbr\u003eNonlinear equations of the fourth order with strengthened coercivity and L^1-data\u003cbr\u003e\u003cstrong\u003ePart II: Removability of singularities of the solutions of quasilinear elliptic and parabolic equations of the second order\u003cbr\u003e\u003c\/strong\u003eRemovability of singularities of the solutions of quasilinear elliptic equations\u003cbr\u003eRemovability of singularities of the solutions of quasilinear parabolic equations\u003cbr\u003eQuasilinear elliptic equations with coefficients from the Kato class\u003cbr\u003e\u003cstrong\u003ePart III: Boundary regimes with peaking for quasilinear parabolic equations\u003c\/strong\u003e\u003cbr\u003eEnergy methods for the investigation of localized regimes with peaking for parabolic second-order equations\u003cbr\u003eMethod of functional inequalities in peaking regimes for parabolic equations of higher orders\u003cbr\u003eNonlocalized regimes with singular peaking\u003cbr\u003eAppendix: Formulations and proofs of the auxiliary results\u003cbr\u003eBibliography \u003c\/p\u003e","brand":"De Gruyter","offers":[{"title":"Default Title","offer_id":57335314383192,"sku":"9783110315486","price":280.86,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0278\/1295\/4195\/files\/9783110315486_b7c4f0f2-5182-4491-b869-2aa8b668264e.jpg?v=1780041650","url":"https:\/\/agendabookshop.com\/products\/singular-solutions-of-nonlinear-elliptic-and-parabolic-equations","provider":"Agenda Bookshop","version":"1.0","type":"link"}