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Showing 1 to 3 of 3 for “"Lp regularity"”.
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STOCHASTIC FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE MEMORY
… for the pth moments of the solution and the Lp-regularity. Then, we provide an analysis to show the local asymptotic L2-stability of the trivial solution using fixed point theorem technique, and we give an approximation of the solution using Euler-Maruyama method providing the global error …
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Regularity of the Bergman Projection on Variants of the Hartogs Triangle
… but its behavior on other function spaces, e.g. Lp, Sobolev and Holder spaces, is of considerable interest.In this dissertation, we focus on the Hartogs triangle which is a classical source of counterexamples in several complex variables, and generalize it to higher dimensions. We investigate the …
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Blow-up of Solutions to the Generalized Inviscid Proudman-Johnson Equation
… Dirichlet boundary conditions. More particularly,regularity of solutions in an Lp setting will be measured via a direct approach which involves the derivation of representation formulae for solutions to the problem. For a real parameter lambda, several classes of initial data are considered. These …