Titlebook: Analysis, Partial Differential Equations and Applications; The Vladimir Maz‘ya Alberto Cialdea,Paolo Emilio Ricci,Flavia Lanzara Conferenc

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Surfacing Intuitions Through Visual Novelsined by . with kernel .. We obtain conditions for the existence of a solution . to the inhomogeneous equation .=.+α, which serves as a discrete model for an inhomogeneous, time-independent Schr?dinger equation on ?.. Define a discrete Carleson norm ., and let .. If ., and ..ω-a.e., then there exists

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On the Nature of Disciplinary Intuitions sharp inequality for the gradient of a bounded or semibounded harmonic function in a ball, one arrives at improved estimates (compared with the known ones) for the gradient of harmonic functions in an arbitrary subdomain of ?.. A representation of the sharp constant in a pointwise estimate of the g

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Leslie Haas,Jill T. Tussey,Michelle Metzgerding recent results for operators whose coefficients are continuous with mild conditions on the modulus of continuity: if the square of the modulus of continuity satisfies the Dini condition, then there is an integral invariant which controls the behavior of solutions of .*.=0 and whether there is a

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Premkumar Pugalenthi,Michelle Stephanterior ball condition, then the Dirichlet problem ., has a unique solution for any . ∈ (1,∞). This solution satisfies natural nontangential maximal function estimates and can be represented as .. Above, ν denotes the outward unit normal to Ω and .(·,·) stands for the Green function associated with Ω