Sökning: "implicit function theorem"

Hittade 4 avhandlingar innehållade orden implicit function theorem.

  1. 1. Two Problems in non-linear PDE’s with Phase Transitions

    Författare :Karl Jonsson; Henrik Shahgholian; Tomas Sjödin; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Conductivity jump; Free boundary problem; Quasilinear elliptic equation; Mathematical techniques; Nonlinear analysis; Free boundary; Free-boundary problems; Quasi-linear elliptic; Quasilinear elliptic equations; Hele-Shaw flow; non-local; implicit function theorem; Heterogeneous Multi Scale; HMM; Finite Element; FEM; FE; Mathematics; Matematik;

    Sammanfattning : This thesis is in the field of non-linear partial differential equations (PDE), focusing on problems which show some type of phase-transition. A single phase Hele-Shaw flow models a Newtoninan fluid which is being injected in the space between two narrowly separated parallel planes. LÄS MER

  3. 2. Interpolation of Hilbert spaces

    Författare :Yacin Ameur; Frank Hansen; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Interpolation; Hilbert space; K-functional; K-monotonicity; Calderon couple; Pick function; matrix monotone function; K_2-functional; Löwner s and Donoghue s theorems.; MATEMATIK; MATHEMATICS; MATEMATIK; Mathematics; Matematik;

    Sammanfattning : (i) We prove that intermediate Banach spaces A, B with respect to arbitrary Hilbert couples H, K are exact interpolation iff they are exact K-monotonic, i.e. the condition f0∊A and the inequality K(t,g0;K)≤K(t,f0;H), t>0 imply g0∊B and ||g0||B≤||f0||A (K is Peetre's K-functional). LÄS MER

  4. 3. Hamiltonian systems with Poisson commuting integrals

    Författare :Håkan Eliasson; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : The purpose of this thesis is to study Hamiltonian systems with Poisson commuting integrals near a stationary point - a situation appearing in many problems of classical mechanics.It turns out that these integrals, under fairly general conditions on their quadratic parts, become singular (their gradients become linearly dependent) on symplectic submanifolds, giving rise to invariant manifolds for the Hamiltonian system - the singular manifolds. LÄS MER

  5. 4. A periodically Ordered Structures in One Dimension

    Författare :Michael Hörnquist; Mads Peter Sørensen; Linköpings universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : This thesis deals with different aspects of aperiodically ordered structures in one dimension. The approach is entirely theoretical, and the models used have various relevance for real systems. LÄS MER