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...erators generalize the [[Paneitz operator]] and the [[Laplace operators in differential geometry#Conformal Laplacian|conformal Laplacian]]. The initials GJMS are The operators have [[symbol of a differential operator|leading symbol]] given by a power of the [[Laplace–Beltrami ...

...>p(x)\cdot{d \over dx}</math><ref>{{cite book|last=Ross|first=Clay C|title=Differential Equations: An Introduction with Mathematica|year=2004|publisher=Springer|is [[Category:Differential operators]] ...

...e coefficients and their [[derivative]]s. Consider a bivariate hyperbolic differential operator of the second order '''Theorem''': ''Two operators of the form are equivalent under [[gauge transformation]]s if and only if t ...

{{Short description|Class of integral and differential operator}} ...e operator and the function ''a''(''x'',''y'') is called the [[symbol of a differential operator|symbol]] of the operator. ''λ'' is a parameter. One often conside ...

...esolvent]] is uniformly bounded from above outside any larger sector. Such operators might be [[Unbounded operator|unbounded]]. ...elliptic]] and [[Parabolic partial differential equation|parabolic partial differential equations]]. ...

{{Short description|Numerical method for solving differential equations}} ...mical reactions in fluid dynamics, and to solve multidimensional [[partial differential equation]]s by reducing them to a sum of one-dimensional problems. ...

In mathematics, the '''theta operator''' is a [[differential operator]] defined by<ref>{{MathWorld |id=ThetaOperator |title=Theta Operat * [[Invariant differential operator]] ...

...utional]] solution of the [[Partial differential equation|partial (pseudo) differential equation]] ...he propagation of singularities follows the bicharacteristic flow of the [[differential operator|principal symbol]] of <math>P</math>. ...

Basic examples of almost commutative rings involve [[differential operator]]s. For example, the enveloping algebra of a complex [[Lie algebra ...

In differential geometry, an '''equivariant differential form''' on a manifold ''M'' [[Lie group action|acted upon]] by a [[Lie grou ...frak{g} = \operatorname{Lie}(G)</math> to the space of [[Differential form|differential forms]] on ''M'' that are equivariant; i.e., ...

...l|mr=0038008|last1=Kreĭn|first1=M.G.|last2=Rutman|first2=M.A.|title=Linear operators leaving invariant a cone in a Banach space|journal=Amer. Math. Soc. Transl. ...{cite journal|mr=0835399|last=de Pagter|first=B.|title=Irreducible compact operators|journal=Math. Z.|volume=192|year=1986|issue=1|pages=149&ndash;153|doi=10.10 ...

...solving a system of linear [[fractional differentiation|fractional-order]] differential equations (FDEs) with discrete delays. ...FDEs and a system of linear fractional-order delay-[[Differential equation|differential equations.]] ...

...s://hal.science/hal-01163568/ |title=Helffer-Sjöstrand formula for Unitary Operators |date=June 2015 |publisher=[[HAL (open archive)]] |year=2015 |ref=hal-01163 ....1007/978-3-642-61497-2 |title=The Analysis of Linear Partial Differential Operators I |date=1983 |publisher=[[Springer Nature]] |series=Classics in Mathematics ...

{{Short description|Concept in the solution of linear partial differential equations}} ...mental solution]] of a PDE, and is essentially an approximate inverse to a differential operator. ...

In [[differential geometry]], the '''equivariant index theorem''', of which there are several *Berline, Nicole; Getzler, E.; Vergne, Michèle (2004), Heat Kernels and Dirac Operators, Berlin, New York: Springer-Verlag ...

...date=2016-05-14|title=Numerical methods for the 2-Hessian elliptic partial differential equation|url=http://dx.doi.org/10.1093/imanum/drw007|journal=IMA Journal of ...an be understood as simply eigenvalue equations acted upon by the Hessian differential operator. Special cases include the [[Monge–Ampère equation]]<ref>{{citatio ...

...near functional operators, including linear differential and/or recurrence operators.<ref>{{Cite journal | last1 = Chyzak | first1 = Frédéric | last2 = Salvy | ...

A [[linear differential operator]] ''L'' is called '''quasi-exactly-solvable''' ('''QES''') if it h ...has block-triangular form. If the operator ''L'' is of the [[Second-order differential equation|second order]] and has the form of the [[Schrödinger operator]], i ...

...function]] is an example, when the operator is the [[Laplace operators in differential geometry|Laplacian]] of a compact [[Riemannian manifold]]. ...st important motivations for [[Arakelov theory]] is the zeta functions for operators with the method of [[heat kernel]]s generalized algebro-geometrically.<ref> ...

...Olver]], [http://www.math.umn.edu/~olver/pdn.html Introduction to Partial Differential Equations, ch. 7, p. 232] [[Category:Differential calculus]] ...