The Heat Equation inLq((0,T),Lp)-Spaces with Weights
From MaRDI portal
Publication:2706227
DOI10.1137/S0036141000372039zbMath0979.35060OpenAlexW1602686979MaRDI QIDQ2706227
Publication date: 19 March 2001
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/s0036141000372039
Initial-boundary value problems for second-order parabolic equations (35K20) PDEs with low regular coefficients and/or low regular data (35R05)
Related Items (37)
Gauss-Markov processes on Hilbert spaces ⋮ REGULARIZING PROPERTIES OF BROWNIAN PATHS AND A RESULT OF DAVIE ⋮ Strong solutions of stochastic differential equations with coefficients in mixed-norm spaces ⋮ Strong solutions to stochastic differential equations with rough coefficients ⋮ Gradient estimates in anisotropic Lorentz spaces to general elliptic equations of \(p\)-growth ⋮ Stochastic regularization effects of semi-martingales on random functions ⋮ A stochastic optimal control problem for the heat equation on the halfline with Dirichlet boundary-noise and boundary-control ⋮ Weighted \(L_{p,q}\)-estimates for higher order elliptic and parabolic systems with \(\mathrm{BMO}_x\) coefficients on Reifenberg flat domains ⋮ \(L^q(L^p)\)-theory of stochastic differential equations ⋮ The heat equation with rough boundary conditions and holomorphic functional calculus ⋮ Linear parabolic equation with Dirichlet white noise boundary conditions ⋮ Well-posedness of density dependent SDE driven by \(\alpha \)-stable process with Hölder drifts ⋮ Oblique derivative problem for non-divergence parabolic equations with time-discontinuous coefficients in a wedge ⋮ Well-posedness of SDEs with drifts in mixed-norm spaces and driven by mixed-noises ⋮ Stochastic differential equations with critical drifts ⋮ Stochastic maximum principle for SPDEs with noise and control on the boundary ⋮ On the convergence of stochastic transport equations to a deterministic parabolic one ⋮ \(L^p\)-maximal regularity of nonlocal parabolic equations and applications ⋮ Unnamed Item ⋮ Local existence for the non-resistive MHD equations in nearly optimal Sobolev spaces ⋮ Pathwise uniqueness and continuous dependence for SDEs with non-regular drift ⋮ Maximal regularity for non-autonomous equations with measurable dependence on time ⋮ Stability of two-dimensional solutions to the Navier-Stokes equations in cylindrical domains under Navier boundary conditions ⋮ Parabolic equations with partially BMO coefficients and boundary value problems in Sobolev spaces with mixed norms ⋮ Strong solutions of stochastic equations with singular time dependent drift ⋮ Regime-switching diffusion processes: strong solutions and strong Feller property ⋮ A Zvonkin's transformation for stochastic differential equations with singular drift and applications ⋮ Transport equations with nonlocal diffusion and applications to Hamilton-Jacobi equations ⋮ Fully nonlinear elliptic and parabolic equations in weighted and mixed-norm Sobolev spaces ⋮ Rubio de Francia extrapolation theorem and related topics in the theory of elliptic and parabolic equations. A survey ⋮ Some stability problem for the Navier–Stokes equations in the periodic case ⋮ The Dirichlet problem for non‐divergence parabolic equations with discontinuous in time coefficients in a wedge ⋮ Hölder Flow and Differentiability for SDEs with Nonregular Drift ⋮ Strong regularization by Brownian noise propagating through a weak Hörmander structure ⋮ Elliptic and parabolic boundary value problems in weighted function spaces ⋮ SDEs with critical time dependent drifts: weak solutions ⋮ A weighted \(L_p\)-theory for second-order parabolic and elliptic partial differential systems on a half space
This page was built for publication: The Heat Equation inLq((0,T),Lp)-Spaces with Weights
