Fundamental results for pseudo-differential operators of type \(1, 1\)

Pseudodifferential operators as generalizations of partial differential operators (35S05) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Pseudodifferential operators (47G30) Paradifferential operators as generalizations of partial differential operators in context of PDEs (35S50)

Cites Work

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Pseudo-differential operators of the exotic class \(L^ o_{1,1}\) in spaces of Besov and Triebel-Lizorkin type
Sharp estimates for pseudo-differential operators with symbols of limited smoothness and commutators
Propagation of Gabor singularities for semilinear Schrödinger equations
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Pseudodifferential operators on local Hardy spaces
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Pseudodifferential operators and nonlinear PDE
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\(L^2\) estimates for Weyl quantization
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Pseudodifferential operators with homogeneous symbols
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Periodic solutions of nonlinear Schrödinger equations: a paradifferential approach
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Pseudo-differential operators with nonregular symbols
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Une algebre maximale d'operateurs pseudo-differentiels d'operateurs pseudo-differentiels
Pseudo-differential operaors of type 1,1.
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A Pseudo Differential Operator which Shifts the Wave Front Set
Continuity of pseedo‐differential operators of type 1,1
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