Sökning: "boundary regularity"

Visar resultat 16 - 20 av 39 avhandlingar innehållade orden boundary regularity.

  1. 16. Boundary Value Problems for Nonlinear Elliptic Equations in Divergence Form

    Författare :Abubakar Mwasa; Jana Björn; Anders Björn; Tomas Sjödin; Sorina Barza; Linköpings universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : The thesis consists of three papers focussing on the study of nonlinear elliptic partial differential equations in a nonempty open subset Ω of the n-dimensional Euclidean space Rn. We study the existence and uniqueness of the solutions, as well as their behaviour near the boundary of Ω. LÄS MER

  3. 17. Numerical Conformal Mappings for Waveguides

    Författare :Anders Andersson; Börje Nilsson; Joachim Toft; Michael Benedicks; Växjö universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; waveguide; building block method; numerical conformal mappings; Schwarz–Christoffel mapping; rounded corners method; approximate curve factors; outer polygon method; boundary curvature; zipper method; geodesic algorithm; acoustic wave scattering; electro-magnetic wave scattering; Applied mathematics; Tillämpad matematik; Mathematics; Matematik;

    Sammanfattning : Acoustic or electro-magnetic scattering in a waveguide with varying direction and cross-section can be re-formulated as a two-dimensional scattering problem, provided that the variations take place in only one dimension at a time. By using the so-called Building Block Method, it is possible to construct the scattering properties of a combination of scatterers when the properties of each scatterer are known. LÄS MER

  4. 18. New weighted inequalities with applications to pseudodifferential operators

    Författare :Stefan Eilertsen; Per-Anders Ivert; Linköpings universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Weighted integral inequalities; fractional Laplacian; Dirichlet problem; behavior near the boundary; special functions;

    Sammanfattning : This thesis is devoted to weighted integral inequalities and their applications to the  study of boundary behavior of solutions to Dirichlet's problem for fractional powers of the Laplacian.We obtain a necessary and sufficient condition on μ for the operator (—Δ)μin R 0 , 0 ... LÄS MER

  5. 19. Essays in Finance Related Problems with PDE Approach

    Författare :Sadna Sajadini; Henrik Shah Gholian; Jonas Tysk; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : This thesis is comprised of three scientific articles, all in PDE problems related to finance. The first two papers address problems concerning bonds and the third one treat s asymmetry problem in the mean field game theory. LÄS MER

  7. 20. The Double Obstacle Problem on Metric Spaces

    Författare :Zohra Farnana; Jana Björn; Anders Björn; Jan Malý; Linköpings universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; MATHEMATICS; MATEMATIK;

    Sammanfattning : In this thesis we investigate the double obstacle problem for p-harmonic functions on metric spaces. We minimize the p-energy integral among all functions which have prescribed boundary values and lie between two given obstacles. LÄS MER