Sökning: "p-laplacian"

Hittade 4 avhandlingar innehållade ordet p-laplacian.

  1. 1. Numerical algorithms for nonlinear eigenproblems with eigenvector nonlinearities

    Författare :Parikshit Upadhyaya; Elias Jarlebring; Robert Corless; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; numerical algorithms; nonlinear eigenproblems; multiparameter eigenvalue problem; nonlinear eigenvalue problem; eigenvector nonlinearities; nepv; scf; p-laplacian; quasi-newton; Numerical Analysis; Numerisk analys;

    Sammanfattning : Eigenproblems and their nonlinear generalizations appear as important problems in a wide variety of fields, ranging from quantum chemistry and vibration analysis to macroeconomics and data science. Hence, the development and analysis of numerical algorithms to solve such problems has a broad multiplicative effect on our ability to answer several crucial scientific questions. LÄS MER

  3. 2. Selected Topics in Mathematical Modelling: Machine Learning and Tugs-of-War

    Författare :Carmina Fjellström; Kaj Nyström; Andrea Pascucci; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Machine learning; Neural networks; LSTM; Financial forecasting; Time series analysis; Stochastic gradient descent; Diffusion map; Dimension reduction; Tug-of-war games; Fractional heat operator; Mean value property; Infinity fractional heat operators; Dynamic programming principle; p-Laplacian; Infinity Laplacian; Kolmogorov equation; Stochastic games; Viscosity solutions; Tillämpad matematik och statistik; Applied Mathematics and Statistics;

    Sammanfattning : This thesis concerns selected topics in mathematical modelling, namely in machine learning and stochastic games called tugs-of-war. It consists of four scientific articles. The first and second are about machine learning topics, while the third and fourth articles are about tug-of-war games. LÄS MER

  4. 3. Topics in Nonlinear Elliptic Differential Equations

    Författare :Shoyeb Waliullah; Andrzej Szulkin; Thomas Bartsch; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Concentration-compactness principle; critical Sobolev exponent; symmetric solutions of elliptic equations; degenerate elliptic equation; Nehari manifold; Caffarelli-Kohn-Nirenberg inequality; infinitely many solutions; MATHEMATICS; MATEMATIK; Mathematics; matematik;

    Sammanfattning : In this thesis we examine the existence of solutions to nonlinear elliptic partial differential equations via variational methods.In Paper I we consider the existence of constrained minimizers which correspond to solutions of equations involving the iterated Laplacian, the iterated p-Laplacian and the critical Sobolev exponent. LÄS MER

  5. 4. Homogenization in Perforated Domains

    Författare :Martin Strömqvist; Henrik Shahgholian; Scott Armstrong; KTH; []
    Nyckelord :Mathematics; Matematik;

    Sammanfattning : Homogenization theory is the study of the asymptotic behaviour of solutionsto partial differential equations where high frequency oscillations occur.In the case of a perforated domain the oscillations are due to variations in thedomain of the equation. LÄS MER