Integral operators and complete families of solutions for $$\Delta _{p + 2}^2 u\left( {\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\thicksim}$}}{x} } \right) + A\left( {r^2 } \right)\Delta _{p + 2} u\left( {\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\thicksim}$}}{x} } \right) + B(r^2 )u\left( {\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\thicksim}$}}{x} } \right) = 0$$
Author:
Publisher
Springer Science and Business Media LLC
Subject
Mechanical Engineering,Mathematics (miscellaneous),Analysis
Link
http://link.springer.com/content/pdf/10.1007/BF00251546.pdf
Reference14 articles.
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2. Bergman, S., Integral Operator in the Theory of Linear Partial Differential Equations. Berlin-Göttingen-Heidelberg: Springer 1961.
3. Browder, F. E., Approximation by solutions of partial differential equations. Amer. J. Math., 84, 134–160 (1962).
4. Colton, D., Cauchy's problem for a class of fourth order elliptic equations in two independent variables. Applicable Analysis: An International Journal, 1, 13–22 (1971).
5. Friedman, A., Partial Differential Equations. New York: Holt, Rinehart and Winston 1969.
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1. Integral Operators for Fourth Order Linear Parabolic Equations;SIAM Journal on Mathematical Analysis;1978-02
2. A Method of Ascent for Parabolic and Pseudoparabolic Partial Differential Equations;SIAM Journal on Mathematical Analysis;1976-11
3. Integral operators and the first initial boundary value problem for pseudoparabolic equations with analytic coefficients;Journal of Differential Equations;1973-05
4. Integral representations of solutions to a class of fourth order elliptic equations in three independent variables;Mathematika;1971-12
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