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Kernel analysis of elliptic partial differential equations

1966
*
IBM Systems Journal
*

is multiplied by the number

doi:10.1147/sj.54.0248
fatcat:r646lfll25cmze65hkcf5nurd4
*of*unknown functions. ... ACKNOWLEDGMENT The authors wish to express their appreciation to Kurt Spielberg, who introduced us to this type*of**kernel**analysis*, and to MichaeI ... The area we have chosen for this*analysis*is the numerical solution*of**partial**differential**equations*, since they cover applications in a great variety*of*problems arising in physics, chemistry, etc. ...##
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Page 4228 of Mathematical Reviews Vol. , Issue 97G
[page]

1997
*
Mathematical Reviews
*

*partial*

*differential*

*equations*. ... |Wood, David Harlan] (1-DE-C; Newark, DE) Solving

*elliptic*

*partial*

*differential*

*equations*with MACSYMA. ...

##
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Page 497 of Mathematical Reviews Vol. , Issue 2004a
[page]

2004
*
Mathematical Reviews
*

Properties

*of*frequency compo- nents*of*the solution to*partial**differential**equations*at the basis*of*this approach are investigated in Section 2. ...*differential**equations*. ...##
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Page 5357 of Mathematical Reviews Vol. , Issue 96i
[page]

1996
*
Mathematical Reviews
*

Zhevandrov (MEX-MICM; Morelia)

*Partial**differential**equations**of**elliptic*type 96i:35023 961:35020 35330 35B99 Davies, E. B. (4-LNDKC; London) Heat*kernel*bounds for higher order*elliptic*operators. ... H6rmander, The*analysis**of*linear*partial**differential*operators. IIT, Springer, Berlin, 1985; MR 87d:35002a]. ...##
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Page 1954 of Mathematical Reviews Vol. , Issue 83e
[page]

1983
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Mathematical Reviews
*

Salle)
Wallner, Herbert 83e:35026 A note on a paper concerning the construction

*of*integral operators: ‘*Construction*of**kernels**of*integral operators for linear*partial**differential**equations*” [Applicable ... The paper coutains a survey*of*results in the function-theoretic approach to the theory*of**partial**differential**equations*by means*of*integral operators*of*Bergman type. ...##
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Page 4386 of Mathematical Reviews Vol. , Issue 89H
[page]

1989
*
Mathematical Reviews
*

The author studies the Neumann boundary value problem for
35

*PARTIAL**DIFFERENTIAL**EQUATIONS*4386 selfadjoint systems,*elliptic*in the sense*of*Douglis-Nirenberg in a domain in Euclidean n-space with an ... From the introduction:“Existence and symmetry properties*of*so- lutions are among the major questions in the study*of**partial**differential**equations*. ...##
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Page 5947 of Mathematical Reviews Vol. , Issue 95j
[page]

1995
*
Mathematical Reviews
*

Summary: “We consider the solution

*of*the*elliptic**partial*differ- ential*equation*in an unbounded domain. ... Some examples*of*the usefulness*of*these functions in the solution*of**partial**differential**equations*for nonscalar fields are given.” {Part I has been reviewed [MR 92j:35023].} ...##
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Page 6217 of Mathematical Reviews Vol. , Issue 96j
[page]

1996
*
Mathematical Reviews
*

*partial*

*differential*

*equations*. ... Methods

*Partial*

*Differential*

*Equations*12 (1996), no. 2, 147-159. ...

##
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Page 229 of Mathematical Reviews Vol. , Issue 99a
[page]

1991
*
Mathematical Reviews
*

229 35J

*Partial**differential**equations**of**elliptic*type 99a:35029 35HOS 22E25 35)30 47F0S ter Elst, A. F. M. ... -Verein. 99 (1997), no. 4, 149-163. in this nice survey paper the author discusses some*of*the con- nections between the study*of**partial**differential**equations*and noncommutative harmonic*analysis*. ...##
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Partial Differential Equations and Function Spaces

2016
*
Journal of Function Spaces
*

Wu et al. establishes the nonexistence

doi:10.1155/2016/3085105
fatcat:xm2msllpmjc7dl7sbidqekxlvu
*of*solutions to a semilinear*elliptic**equation*with unbounded inhomogeneous power nonlinearity. ... This is a Liouville type theorem that has proven to be a powerful tool in obtaining a priori bound for solutions*of**elliptic**equations*. The paper by J. Cunanan and Y. ... Without the significant contributions made by these researchers, the publication*of*the special issue would not be possible. ...##
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CONTENTS
[chapter]

1976
*
Introduction to Partial Differential Equations
*

Fourier

doi:10.1515/9780691213033-toc
fatcat:rssl33xip5c6dg3wyy3iyapykq
*Analysis**of*the Wave Operator 177 E. The Wave*Equation*in Bounded Domains 183 F. The Radon Transform 185 Chapter 6 THE L 2 THEORY*OF*DERIVATIVES 190 A. Sobolev Spaces on M" 190 B. ... Solution*of*the Problems 134 F. Further Remarks 139 Chapter 4 THE HEAT OPERATOR 142 A. The Gaussian*Kernel*143 B. Functions*of*the Laplacian 149 C. ...##
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Page 580 of Mathematical Reviews Vol. , Issue 83b
[page]

1983
*
Mathematical Reviews
*

These papers are part

*of*the author’s study*of**elliptic**partial**differential**equations*. He studies convolutions with*kernels*which he calls*of*class UD. ... Bernhard Kawohl (Erlangen) Bailet-Intissar, Joélle 83b:35036 Nonlinear mixed boundary value problems for*elliptic**partial**differential**equations*. Proc. Roy. Soc. Edinburgh Sect. ...##
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Page 142 of Mathematical Reviews Vol. 49, Issue 1
[page]

1975
*
Mathematical Reviews
*

Bergman, Integral operators in the theory

*of*linear*partial**differential**equations*, Ergeb. Math. Grenzgeb. ... Bergman [Integral operators in the theory*of*linear*partial**differential**equations*, Ergeb. Math. Grenzgeb. ...##
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Page 7521 of Mathematical Reviews Vol. , Issue 97M
[page]

1997
*
Mathematical Reviews
*

7521 35J

*Partial**differential**equations**of**elliptic*type operator in this class. ... Vladimir Tulovsky (1-STJ2-MS; Staten Island, NY) 35J*Partial**differential**equations**of**elliptic*type 97m:35041 35J05 30E10 45E10 65N15 73D25 76Q05 Abrahams, I. ...##
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Page 426 of Mathematical Reviews Vol. , Issue 92a
[page]

1992
*
Mathematical Reviews
*

Summary: “Integral

*equations*in a class 4, whose*kernels*are*kernels**of*positive rational functions*of**elliptic*operators, do not in general have locally integrable solutions. ... Summary: “An explicit and computable scheme is given for mixed coupled*partial*difference systems appearing when one considers difference approximate solutions*of*coupled systems*of**partial**differential*...
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