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020 _a9783031640919
_9978-3-031-64091-9
024 7 _a10.1007/978-3-031-64091-9
_2doi
050 4 _aQA370-380
072 7 _aPBKJ
_2bicssc
072 7 _aMAT007000
_2bisacsh
072 7 _aPBKJ
_2thema
100 1 _aBorsuk, Mikhail.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_986687
245 1 0 _aInterface Problems for Elliptic Second-Order Equations in Non-Smooth Domains
_h[electronic resource] /
_cby Mikhail Borsuk.
250 _a2nd ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Birkhäuser,
_c2024.
300 _aXIV, 334 p. 14 illus., 9 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aFrontiers in Mathematics,
_x1660-8054
505 0 _a- 1. Preliminaries -- 2. Eigenvalue Problem and Integro-Differential Inequalities -- 3. Best Possible Estimates of Solutions to the Interface Problem for Linear Elliptic Divergence Second Order Equations in a Conical Domain -- 4. Interface Problem for the Laplace Operator with N Different Media -- 5. Interface Problem for Weak Quasi-Linear Elliptic Equations in a Conical Domain -- 6. Interface Problem for Strong Quasi-Linear Elliptic Equations in a Conical Domain -- 7. Best Possible Estimates of Solutions to the Interface Problem for a Quasi-Linear Elliptic Divergence Second Order Equation in a Domain with a Boundary Edge -- 8. Interface Oblique Derivative Problem for Perturbed p(x)-Laplacian Equation in a Bounded n− Dimensional Cone -- 9. Existence of Bounded Weak Solutions.
520 _aThe goal of this book is to investigate the behavior of weak solutions to the elliptic interface problem in a neighborhood of boundary singularities: angular and conic points or edges. This problem is considered both for linear and quasi-linear equations, which are among the less studied varieties. As a second edition of Transmission Problems for Elliptic Second-Order Equations for Non-Smooth Domains (Birkhäuser, 2010), this volume includes two entirely new chapters: one about the oblique derivative problems for the perturbed p(x)-Laplacian equation in a bounded n-dimensional cone, and another about the existence of bounded weak solutions. Researchers and advanced graduate students will appreciate this compact compilation of new material in the field.
650 0 _aDifferential equations.
650 0 _aFunctional analysis.
650 1 4 _aDifferential Equations.
650 2 4 _aFunctional Analysis.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031640902
776 0 8 _iPrinted edition:
_z9783031640926
830 0 _aFrontiers in Mathematics,
_x1660-8054
_972228
856 4 0 _uhttps://doi.org/10.1007/978-3-031-64091-9
912 _aZDB-2-SMA
912 _aZDB-2-SXMS
999 _c64532
_d64532