On the base and the essential base in parabolic potential theory
Brzezina, Miroslav
Czechoslovak Mathematical Journal, Tome 40 (1990), p. 87-103 / Harvested from Czech Digital Mathematics Library
Access to full text
Full (PDF)
Publié le : 1990-01-01
Classification:  31C45 
@article{102361,
     author = {Miroslav Brzezina},
     title = {On the base and the essential base in parabolic potential theory},
     journal = {Czechoslovak Mathematical Journal},
     volume = {40},
     year = {1990},
     pages = {87-103},
     zbl = {0712.31001},
     mrnumber = {1032362},
     language = {en},
     url = {http://dml.mathdoc.fr/item/102361}
}

Brzezina, Miroslav. On the base and the essential base in parabolic potential theory. Czechoslovak Mathematical Journal, Tome 40 (1990) pp. 87-103. http://gdmltest.u-ga.fr/item/102361/

G. Anger Funktionalanalytische Betrachtungen bei Differentialgleichungen unter Verwendung von Methoden der Potentialtheorie I, Akademie-Verlag, Berlin, 1967. (1967) | MR 0230916 | Zbl 0163.11901

H. Bauer Harmonische Räume und ihre Potentialtheorie, Lecture Notes in Mathematics 22, Springer-Verlag, Berlin, 1966. (1966) | MR 0210916 | Zbl 0142.38402

U. Bauermann Balayage-Operatoren in der Potentialtheorie, Math. Ann. 231 (1977), 181-186. (1977) | Article | MR 0492344 | Zbl 0351.31011

J. Bliedtner W. Hansen Simplicial cones in potential theory, Invent. Math. 29 (1975), 83-110. (1975) | Article | MR 0387630

J. Bliedtner W. Hansen Potential theory, An Analytic and Probabilistic Approach to Balayage, Springer-Verlag, Berlin, 1986. (1986) | MR 0850715

M. Brelot Sur les ensembles effilés, Bull. Sci. Math. 68 (1944), 12-36. (1944) | MR 0012364 | Zbl 0028.36201

M. Brelot Éléments de la theorie classique du potential, 2e ed. Centre de Documentation Universitaire Paris, 1961. (1961) | MR 0106366

M. Brzezina Thinness and essential base for the heat equation, (Thesis in Czech) Charles University, Prague, 1986. (1986)

M. Brzezina Base and essential base in parabolic potential theory, Comm. Math. Univ. Carolinae 27 (1986), 631-632. (1986)

C. Constantinescu A. Cornea Potential theory on harmonic spaces, Springer-Verlag, Berlin, 1972. (1972) | MR 0419799

E. G. Effros L. J. Kazdan On the Dirichlet problem for the heat equation, Indiana Univ. Math. J. 20 (1971), 683-693. (1971) | Article | MR 0268543

C. L. Evans F. R. Gariepy Wiener's criterion for the heat equation, Arch. Rational Mech. Anal. 78 (1982), 293-314. (1982) | Article | MR 0653544

N. Garofalo E. Lanconelli Wiener's criterion for parabolic equation with variable coefficient and its consequences, Trans. Amer. Math. Soc. (to appear). | MR 0951629

W. Hansen Fegen und Dünheit mit Anwendungen auf die Laplace- und Wärmeleitungs- gleichungen, Ann. Inst. Fourier (Grenoble) 21 (1971), 79-121. (1971) | Article | MR 0414910

W. Hansen Semi-polar sets are almost negligible, J. reine angew. Math. 314 (1980), 217-220. (1980) | MR 0555915 | Zbl 0422.31009

W. Hansen Semi-polar sets and quasi-balayage, Math. Ann. 257 (1981), 495-517. (1981) | Article | Zbl 0458.31008

E. Lanconelli Sul problema di Dirichlet per l'equazione del calore, Ann. Math. Pura ed Appl. 97(1973), 83-113. (1973) | Article | MR 0372226

I. Netuka Thinness and the heat equation, Časopis Pěst. Mat. 99 (1974), 293-299. (1974) | MR 0352504 | Zbl 0289.35037

I. Netuka J. Veselý Harmonic continuation and removable singularities in the axiomatic potential theory, Math. Ann. 234 (1978), 117-123. (1978) | Article | MR 0481063

C. J. Oxtoby Measure and category, Springer-Verlag, Berlin, 1971. (1971) | MR 0584443 | Zbl 0217.09201

G. I. Petrowsky Zur ersten Randwertaufgabe der Wärmeleitungsgleichung, Compositio Math. 7 (1935), 383 - 419. (1935) | MR 1556900 | Zbl 0010.29903

B. Pini Sulla regolarità e irregolarita della frontiera per il primo problema di valori al contorno relativo all'equazione del calore, Ann. Math. Pura ed Appl. 40 (1955), 69-88. (1955) | Article | MR 0075437 | Zbl 0066.07804

V. Sternberg Über die Gleichung der Wärmeleitung, Math. Ann. 101 (1929), 394-398. (1929) | Article | MR 1512542

L. Stocia On the thinness of a set at a point, Stud. Cerc. Mat. 38 (1986), 382-391. (1986) | MR 0856749

K. Uchiyama A probabilistic proof and applications of Wiener's test for the heat operator, (preprint). | Zbl 0678.60066

A. N. Watson Thermal capacity, Proc. London Math. Soc. (3) 37 (1978), 342-362. (1978) | MR 0507610 | Zbl 0395.35034

A. N. Watson Thinness and boundary behaviour of potentials for the heat equation, Mathematika 32 (1985), 90-95. (1985) | Article | MR 0817112 | Zbl 0581.31005

A. N. Watson Green's functions, potentials, and the Dirichlet problem for the heat equation, Proc. London Math. Soc. (3) 33 (1976), 251-298. (1976) | MR 0425145

N. Wiener The Dirichlet problem, J. Math. Phys. 3 (1924), 127-146. (1924) | Article