Smoothness and stability in the Alt\u2013Phillips problem [PDF]
Math AnnWe study the one-phase Alt\u2013Phillips free boundary problem, focusing on the case of negative exponents [Formula: see text] . The goal of this paper is twofold.
Tortone, Giorgio, Carducci, Matteo
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OPTIMAL CONTROL PROBLEMS CONSTRAINED BY FRACTIONAL PDES AND APPLICATION TO DEEP NEURAL NETWORKS [PDF]
, 2021 Motivated by several applications in geophysics, imaging, machine learning, elasticity, finance, anomalous diffusion, etc., this thesis develops algorithms to solve optimal control problems constrained by fractional partial differential equations (FPDEs).
Deepanshu Verma
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Solution regularity and smooth dependence for abstract equations and applications to hyperbolic PDEs
Journal of Differential Equations, 2015 48 ...
Kmit, I., Recke, L.
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Besov regularity of elliptic and parabolic PDEs with inhomogeneous boundary conditions on Lipschitz domains [PDF]
, 2022 This dissertation connects different topics and shows new results in the research field of applied analysis. We investigate the regularity of solutions of partial differential equations (=PDEs) of elliptic and parabolic type on non-smooth domains ...
Szemenyei, Flóra Orsolya
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Path regularity and explicit convergence rate for BSDE with truncated quadratic growth [PDF]
, 2010 We consider backward stochastic differential equations with drivers of quadratic growth (qgBSDE). We prove several statements concerning path regularity and stochastic smoothness of the Solution processes of the qg-BSDE, in particular we prove an ...
Dos Reis, Goncalo, Imkeller, Peter
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Spectral methods for PDEs [PDF]
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2024, Director: Àngel Jorba i Monte[en] The main goal of is to indruce the basic techniques and results of numerical analysis for spectral methods.
Colmenero Martínez, César
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Multi-index stochastic collocation convergence rates for random PDEs with parametric regularity [PDF]
, 2016 We analyze the recent Multi-index Stochastic Collocation (MISC) method for computing statistics of the solution of a partial differential equation (PDE) with random data, where the random coefficient is parametrized by means of a countable sequence of ...
Haji-Ali, Abdul-Lateef +8 more
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Spatial smoothness of the stationary solutions of the 3D Navier--Stokes equations
, 2006 International audienceWe consider stationary solutions of the three dimensional Navier--Stokes equations (NS3D) with periodic boundary conditions and driven by an external force which might have a deterministic and a random part.
Odasso, Cyril
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Approximation of random/stochastic partial differential equations [PDF]
, 2018 The overarching interest of this thesis lies in approximations of partial differential equations (PDEs) with randomness or stochasticity. We focus on three rather different problems: a study of random fields on spherical shells, and its applications to ...
Kazashi, Yoshihito
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Local existence, uniqueness, and smooth dependence for nonsmooth quasilinear parabolic problems [PDF]
, 2009 A general theory on local existence, uniqueness, regularity, and smooth dependence in H"older spaces for a general class of quasilinear parabolic initial boundary value problems with nonsmooth data has been developed.
Jens André Griepentrog +3 more
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