Lectures on Pseudo-Differential Operators: Regularity Theorems and Applications to Non-Elliptic Problems. (MN-24)
From MaRDI portal
Publication:3051002
DOI10.1515/9781400870486zbMath0415.47025OpenAlexW4243744987MaRDI QIDQ3051002
Elias M. Stein, Alexander Nagel
Publication date: 1979
Full work available at URL: https://doi.org/10.1515/9781400870486
Numerical computation of solutions to systems of equations (65H10) Pseudodifferential operators as generalizations of partial differential operators (35S05) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Integral, integro-differential, and pseudodifferential operators (47Gxx)
Related Items
Group convolution operators on standard CR-manifolds. I: Structural properties ⋮ \(L^ p\) and Lipschitz estimates for the \({\bar\partial}\)-equation and the \({\bar\partial}\)-Neumann problem ⋮ Weighted weak type \((1,1)\) estimates for singular integrals with non-isotropic homogeneity ⋮ On the algebra of pseudodifferential operators which is generated by convolutions on the Heisenberg group ⋮ Carleman inequalities for the Dirac and Laplace operators and unique continuation ⋮ On \(L^ p\) and Hölder estimates for the \({\bar \partial}\)-Neumann problem on strongly pseudo-convex domains ⋮ Estimates for singular Radon transforms and pseudodifferential operators with singular symbols ⋮ Unnamed Item ⋮ Regularity of quasi-linear equations with Hörmander vector fields of step two ⋮ Boundedness of inhomogeneous Journé's type operators on multi-parameter local Hardy spaces ⋮ On the lifting property for the Lipschitz spaces \(\varLambda_{\alpha }\) with \(\alpha >0\) ⋮ Diffusive expansion for solutions of the Boltzmann equation in the whole space ⋮ Grand Lebesgue spaces on quasi-metric measure spaces of infinite measure ⋮ Hypoelliptic operators in geometry. Abstracts from the workshop held May 21--26, 2023 ⋮ Superdimensional Metamaterial Resonators From Sub-Riemannian Geometry ⋮ On the Grushin operator and hyperbolic symmetry ⋮ Singular integrals on product homogeneous groups ⋮ Compositions of singular integral operators ⋮ The Dirichlet problem for the Kohn Laplacian on the Heisenberg group. I ⋮ The Dirichlet problem for the Kohn Laplacian on the Heisenberg group. II ⋮ The trace problem for Sobolev spaces over the Heisenberg group ⋮ Parametrix construction for a class of subelliptic differential operators ⋮ Solution of the tangential Kohn Laplacian on a class of non-compact CR manifolds ⋮ The dirichlet problem for the bergman laplacian. I ⋮ A Note on Boundary Value Problems for the Heat Equation in Lipschitz Cylinders ⋮ Pseudodifferential operators on groups with dilations ⋮ Unnamed Item ⋮ Strictly pseudoconvex domains in 𝐶ⁿ ⋮ A parametrix for the \(\overline{\partial}\)-Neumann problem on pseudoconvex domains of finite type ⋮ Hölder and \(L^p\) estimates for \(\square_b\) on CR manifolds of arbitrary codimension ⋮ The characterization of weighted local hardy spaces on domains and its application ⋮ The Heisenberg group and its relatives in the work of Elias M. Stein ⋮ Hölder regularity of subelliptic pseudodifferential operators ⋮ Approximation rates for neural networks with encodable weights in smoothness spaces ⋮ Perturbation of normal quaternionic operators ⋮ Weak type estimates for functions of Marcinkiewicz type with fractional integrals of mixed homogeneity ⋮ Boundedness of multi-parameter pseudo-differential operators on multi-parameter local Hardy spaces ⋮ A groupoid approach to pseudodifferential calculi ⋮ Boundary behavior of harmonic functions in non-tangentially accessible domains ⋮ Schauder estimates at the boundary for sub-Laplacians in Carnot groups ⋮ An example on the Heisenberg group related to the Lewy operator ⋮ Estimates for singular convolution operators on the Heisenberg group ⋮ Calderon-Zygmund kernels carried by linear subspaces of homogeneous nilpotent Lie algebras ⋮ A necessary condition for the hypoellipticity of second-order equations with alternating characteristic form ⋮ Solving the Kohn Laplacian on asymptotically flat CR manifolds of dimension 3 ⋮ Quadratic inequalities and interpolation