We construct fundamental solutions of some partial differential equations of order higher than two and examine properties of these solutions and of some related integrals. The results will be used in our next paper concerning boundary-value problems for these equations.
@article{bwmeta1.element.bwnjournal-article-apmv65z2p129bwm, author = {Jan Popio\l ek}, title = {Properties of some integrals related to partial differential equations of order higher than two}, journal = {Annales Polonici Mathematici}, volume = {66}, year = {1997}, pages = {129-138}, zbl = {0887.35033}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv65z2p129bwm} }
Jan Popiołek. Properties of some integrals related to partial differential equations of order higher than two. Annales Polonici Mathematici, Tome 66 (1997) pp. 129-138. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv65z2p129bwm/
[000] [1] E. A. Baderko, On solvability of boundary-value problems for parabolic equations of higher order in domains with curvilinear boundaries, Differentsial'nye Uravneniya 12 (1976), 1782-1792 (in Russian).
[001] [2] T. D. Dzhuraev, The boundary-value problems for equations of mixed and mixed-composite types, FAN, Tashkent, 1979 (in Russian). | Zbl 0487.35068
[002] [3] I. S. Gradshteĭn and E. M. Ryzhik, Tables of Integrals, Sums, Series and Products, Nauka, Moscow, 1962 (in Russian).
[003] [4] W. Pogorzelski, Integral Equations and their Applications, Vol. 2, PWN, Warszawa, 1958 (in Polish). | Zbl 0082.09502