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A multi-product, multi-period vaccine supply chain network planning with injection centers and storage conditions. [PDF]
PLoS OneHeydarpour R, Mokhtari H, Dehnavi S.
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Pseudo‐differential operator in quaternion space
Mathematical Methods in the Applied Sciences, 2023This paper introduces the quaternion Schwarz type space, and quaternion linear canonical transform (QLCT) mapping properties are also discussed. Further, the quaternion pseudo‐differential operator (QPDO) associated with QLCT is described. Some of its characteristics, including estimates, boundedness, and integral representation in quaternion Sobolev ...
Manab Kundu, Akhilesh Prasad
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Communications on Pure and Applied Mathematics, 1965
Contents: Second Order Elliptic Operators.- Pseudo-Differential Operators.- Elliptic Operators on a Compact Manifold without Boundary.- Boundary Problems for Elliptic Differential Operators.- Symplectic Geometry.- Some Classes of (Micro-)Hypoelliptic Operators.- The Strictly Hyperbolic Cauchy Problem.- The Mixed Dirichlet-Cauchy Problem for Second ...
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Contents: Second Order Elliptic Operators.- Pseudo-Differential Operators.- Elliptic Operators on a Compact Manifold without Boundary.- Boundary Problems for Elliptic Differential Operators.- Symplectic Geometry.- Some Classes of (Micro-)Hypoelliptic Operators.- The Strictly Hyperbolic Cauchy Problem.- The Mixed Dirichlet-Cauchy Problem for Second ...
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Nonregular Pseudo-Differential Operators
Zeitschrift für Analysis und ihre Anwendungen, 1996We study the boundedness properties of pseudo-differential operators a(x, D) and their adjoints a(x, D)* with symbols in a certain vector-valued Besov space on Besov
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On Eigenvalues of Pseudo-Differential Operators
Bulletin of the London Mathematical Society, 1987Conditions are given to ensure the existence and finiteness of the number of eigenvalues below the essential spectrum of self-adjoint realizations H of the operator \((D^ 2+m^ 2)^{1/2}+q(x)\) in \(L^ 2({\mathbb{R}}^ n)\) \((D=-i\partial /\partial x\), \(m>0\) a constant, q real valued).
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1985
We will now turn to a class of operators which — roughly speaking (details below) — are locally presentable in the form $$\left( {Pu} \right)\left( x \right)\,: = \int {ei p\left( {x,\varepsilon } \right)} \mathop u\limits^ \wedge \left( \varepsilon \right)d\varepsilon$$ where $$ \hat u\left( x \right): = \int {e^{ - i\left\langle {x,\xi }
B. Booss, D. D. Bleecker
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We will now turn to a class of operators which — roughly speaking (details below) — are locally presentable in the form $$\left( {Pu} \right)\left( x \right)\,: = \int {ei p\left( {x,\varepsilon } \right)} \mathop u\limits^ \wedge \left( \varepsilon \right)d\varepsilon$$ where $$ \hat u\left( x \right): = \int {e^{ - i\left\langle {x,\xi }
B. Booss, D. D. Bleecker
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