Piatnitski, A.; Zhizhina, E. Stochastic homogenization of convolution type operators. (English. French summary) Zbl 1433.35006 J. Math. Pures Appl. (9) 134, 36-71 (2020). Reviewer: Aleksandr D. Borisenko (Kyïv) MSC: 35B27 45E10 60H25 47B25 PDF BibTeX XML Cite \textit{A. Piatnitski} and \textit{E. Zhizhina}, J. Math. Pures Appl. (9) 134, 36--71 (2020; Zbl 1433.35006) Full Text: DOI
Pauly, Dirk On the Maxwell and Friedrichs/Poincaré constants in ND. (English) Zbl 1426.35007 Math. Z. 293, No. 3-4, 957-987 (2019). MSC: 35A23 35Q61 35E10 35F15 35R45 46E40 53A45 35Q30 76D07 35J20 46E35 65N30 PDF BibTeX XML Cite \textit{D. Pauly}, Math. Z. 293, No. 3--4, 957--987 (2019; Zbl 1426.35007) Full Text: DOI arXiv
Morabito, Filippo; Sicbaldi, Pieralberto Delaunay type domains for an overdetermined elliptic problem in \(\mathbb S^n\times \mathbb{R}\) and \(\mathbb{H}^n\times \mathbb R\). (English) Zbl 1336.58015 ESAIM, Control Optim. Calc. Var. 22, No. 1, 1-28 (2016). MSC: 58J32 58J05 58J55 53C30 53A10 35B32 35R01 49Q05 49Q10 35N05 PDF BibTeX XML Cite \textit{F. Morabito} and \textit{P. Sicbaldi}, ESAIM, Control Optim. Calc. Var. 22, No. 1, 1--28 (2016; Zbl 1336.58015) Full Text: DOI
Cohl, Howard S.; Volkmer, Hans Expansions for a fundamental solution of Laplace’s equation on \(\mathbb{R}^{3}\) in 5-cyclidic harmonics. (English) Zbl 1304.35211 Anal. Appl., Singap. 12, No. 6, 613-633 (2014). MSC: 35E05 34L10 35J05 34L05 34B30 35J08 PDF BibTeX XML Cite \textit{H. S. Cohl} and \textit{H. Volkmer}, Anal. Appl., Singap. 12, No. 6, 613--633 (2014; Zbl 1304.35211) Full Text: DOI arXiv
Lanzani, Loredana Higher order analogues of exterior derivative. (English) Zbl 06257021 Bull. Inst. Math., Acad. Sin. (N.S.) 8, No. 3, 389-398 (2013). MSC: 47F05 31B35 35J30 35E99 PDF BibTeX XML Cite \textit{L. Lanzani}, Bull. Inst. Math., Acad. Sin. (N.S.) 8, No. 3, 389--398 (2013; Zbl 06257021) Full Text: arXiv
Fedchenko, D.; Shlapunov, A. On the Cauchy problem for the Dolbeault complex in spaces of distributions. (English) Zbl 1278.35164 Complex Var. Elliptic Equ. 58, No. 11, 1591-1614 (2013). MSC: 35N05 58J10 35J56 46F12 PDF BibTeX XML Cite \textit{D. Fedchenko} and \textit{A. Shlapunov}, Complex Var. Elliptic Equ. 58, No. 11, 1591--1614 (2013; Zbl 1278.35164) Full Text: DOI
Nikishkin, V. A. On estimates for solutions of elliptic boundary value problems in a layer. (English. Russian original) Zbl 1231.47073 Differ. Equ. 47, No. 3, 446-450 (2011); translation from Differ. Uravn. 47, No. 3, 446-450 (2011). MSC: 47N20 35J58 35B45 PDF BibTeX XML Cite \textit{V. A. Nikishkin}, Differ. Equ. 47, No. 3, 446--450 (2011; Zbl 1231.47073); translation from Differ. Uravn. 47, No. 3, 446--450 (2011) Full Text: DOI
Denk, Robert; Hieber, Matthias; Prüss, Jan Towards an \(L^1\)-theory for vector-valued elliptic boundary value problems. (English) Zbl 1039.35135 Iannelli, Mimmo (ed.) et al., Evolution equations: applications to physics, industry, life sciences and economics. Proceedings of the 7th international conference on evolution equations and their applications, EVEQ2000 conference, Levico Terme, Italy, October 30–November 4, 2000. Basel: Birkhäuser (ISBN 3-7643-0374-3/hbk). Prog. Nonlinear Differ. Equ. Appl. 55, 141-147 (2003). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35R20 35C15 PDF BibTeX XML Cite \textit{R. Denk} et al., Prog. Nonlinear Differ. Equ. Appl. 55, 141--147 (2003; Zbl 1039.35135)
Venni, Alberto; Dore, Giovanni \(H^\infty\) functional calculus for an elliptic operator on a half-space with general boundary conditions. (English) Zbl 1072.47014 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 1, No. 3, 487-543 (2002). Reviewer: Timothy Feeman (Villanova) MSC: 47A60 35J40 47F05 PDF BibTeX XML Cite \textit{A. Venni} and \textit{G. Dore}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 1, No. 3, 487--543 (2002; Zbl 1072.47014) Full Text: EuDML
Braun, Rüdiger W.; Meise, Reinhold; Taylor, B. A. Characterization of the homogeneous polynomials \(P\) for which \((P+Q)(D)\) admits a continuous linear right inverse for all lower order perturbations \(Q\). (English) Zbl 1071.47512 Pac. J. Math. 192, No. 2, 201-218 (2000). MSC: 47F05 35E20 46E15 PDF BibTeX XML Cite \textit{R. W. Braun} et al., Pac. J. Math. 192, No. 2, 201--218 (2000; Zbl 1071.47512) Full Text: DOI Link
Dautray, Robert; Lions, Jacques-Louis Mathematical analysis and numerical methods for science and technology. Volume 2: Functional and variational methods. With the collaboration of Michel Artola, Marc Authier, Philippe Bénilan, Michel Cessenat, Jean-Michel Combes, Hélène Lanchon, Bertrand Mercier, Claue Wild, Claude Zuily. Transl. from the French by Ian N. Sneddon. 2nd printing. (English) Zbl 0944.47001 Berlin: Springer. xvi, 592 p. (2000). Reviewer: P.Zabreiko (Minsk) MSC: 47-02 47F05 46E35 46-02 46F10 35-02 46F12 35A22 35A15 47A10 PDF BibTeX XML Cite \textit{R. Dautray} and \textit{J.-L. Lions}, Mathematical analysis and numerical methods for science and technology. Volume 2: Functional and variational methods. With the collaboration of Michel Artola, Marc Authier, Philippe Bénilan, Michel Cessenat, Jean-Michel Combes, Hélène Lanchon, Bertrand Mercier, Claue Wild, Claude Zuily. Transl. from the French by Ian N. Sneddon. 2nd printing. Berlin: Springer (2000; Zbl 0944.47001)
Chkadua, O.; Duduchava, R. Asymptotics of potential-type functions. (English) Zbl 1032.35050 Bull. Georgian Acad. Sci. 159, No. 1, 23-27 (1999). MSC: 35C20 35E05 35J45 35J30 PDF BibTeX XML Cite \textit{O. Chkadua} and \textit{R. Duduchava}, Bull. Georgian Acad. Sci. 159, No. 1, 23--27 (1999; Zbl 1032.35050)
Wagner, Peter Fundamental solutions of real homogeneous cubic operators of principal type in three dimensions. (English) Zbl 0993.35005 Acta Math. 182, No. 2, 283-300 (1999). Reviewer: Norbert Ortner (Innsbruck) MSC: 35A08 35C05 35E05 33E05 PDF BibTeX XML Cite \textit{P. Wagner}, Acta Math. 182, No. 2, 283--300 (1999; Zbl 0993.35005) Full Text: DOI
Dalmasso, R. On overdetermined eigenvalue problems for the polyharmonic operator. (English) Zbl 0911.31004 J. Math. Anal. Appl. 221, No. 1, 384-404 (1998). Reviewer: V.V.Karachik (Tashkent) MSC: 31B30 35J40 35N05 35P99 PDF BibTeX XML Cite \textit{R. Dalmasso}, J. Math. Anal. Appl. 221, No. 1, 384--404 (1998; Zbl 0911.31004) Full Text: DOI
Clauss, Ute; Hamann, Uwe Approximation by normal derivatives of fundamental solutions of elliptic differential operator systems. (English) Zbl 0870.35005 Methods Appl. Anal. 3, No. 2, 235-256 (1996). Reviewer: Ya.A.Rojtberg (Chernigov) MSC: 35A08 35J45 35E05 PDF BibTeX XML Cite \textit{U. Clauss} and \textit{U. Hamann}, Methods Appl. Anal. 3, No. 2, 235--256 (1996; Zbl 0870.35005) Full Text: DOI
Abramyan, A. V.; Nogin, V. A. Fractional powers of second-order differential operators with constant coefficients in \(L_p\) spaces. (English. Russian original) Zbl 0922.47038 Dokl. Math. 51, No. 2, 204-207 (1995); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 341, No. 3, 295-298 (1995). Reviewer: C.Corduneanu (Arlington) MSC: 47F05 47A60 PDF BibTeX XML Cite \textit{A. V. Abramyan} and \textit{V. A. Nogin}, Dokl. Math. 51, No. 2, 204--207 (1995; Zbl 0922.47038); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 341, No. 3, 295--298 (1995)
Belger, M. Eigenvalue distribution of invariant linear second order elliptic differential operators with constant coefficients. (English) Zbl 0799.47029 Z. Anal. Anwend. 12, No. 2, 285-296 (1993). MSC: 47F05 47A75 35P20 11F72 11L07 11H06 PDF BibTeX XML Cite \textit{M. Belger}, Z. Anal. Anwend. 12, No. 2, 285--296 (1993; Zbl 0799.47029) Full Text: DOI
Malyshev, V. A. The Hadamard conjecture and estimates of the Green function. (Russian) Zbl 0779.35034 Algebra Anal. 4, No. 4, 1-44 (1992). Reviewer: V.Yu.Rovenskij (Krasnoyarsk) MSC: 35J30 35E10 PDF BibTeX XML Cite \textit{V. A. Malyshev}, Algebra Anal. 4, No. 4, 1--44 (1992; Zbl 0779.35034)
Belger, M. Eigenvalue distribution of invariant linear elliptic differential operators of arbitrary order with constant coefficients. (English) Zbl 0810.35069 Serdica 18, No. 1-4, 260-277 (1992). MSC: 35P20 35J30 35E20 PDF BibTeX XML Cite \textit{M. Belger}, Serdica 18, No. 1--4, 260--277 (1992; Zbl 0810.35069)
Malyshev, V. A. Hadamard’s conjecture and estimates of the Green function. (English. Russian original) Zbl 0791.35034 St. Petersbg. Math. J. 4, No. 3, 633-666 (1993); translation from Algebra Anal. 4, No. 4, 1-44 (1992). MSC: 35J30 35E10 PDF BibTeX XML Cite \textit{V. A. Malyshev}, St. Petersbg. Math. J. 4, No. 3, 633--666 (1992; Zbl 0791.35034); translation from Algebra Anal. 4, No. 4, 1--44 (1992)
Hieber, Matthias; Räbiger, Frank A remark on the abstract Cauchy problem on spaces of Hölder continuous functions. (English) Zbl 0765.34042 Proc. Am. Math. Soc. 115, No. 2, 431-434 (1992). Reviewer: H.O.Fattorini (Los Angeles) MSC: 34G10 47D03 PDF BibTeX XML Cite \textit{M. Hieber} and \textit{F. Räbiger}, Proc. Am. Math. Soc. 115, No. 2, 431--434 (1992; Zbl 0765.34042) Full Text: DOI
Yoshida, Norio Oscillatory properties of solutions of certain elliptic equations. (English) Zbl 0746.35003 Bull. Aust. Math. Soc. 45, No. 2, 297-303 (1992). Reviewer: Charles A.Swanson (Vancouver) MSC: 35B05 35J30 35E99 PDF BibTeX XML Cite \textit{N. Yoshida}, Bull. Aust. Math. Soc. 45, No. 2, 297--303 (1992; Zbl 0746.35003) Full Text: DOI
Robinson, Derek W. Elliptic operators and Lie groups. (English) Zbl 0747.47030 Oxford Science Publications. Oxford etc.: Clarendon Press. xi, 558 p. (1991). Reviewer: J.Marschall MSC: 47F05 35J30 35K25 47-02 22E30 PDF BibTeX XML Cite \textit{D. W. Robinson}, Elliptic operators and Lie groups. Oxford etc.: Clarendon Press (1991; Zbl 0747.47030)
Avetisyan, P. S. On coercive solvability of an equation with a parameter. (Russian. English summary) Zbl 0788.35028 Uch. Zap. Erevan. Gos. Univ., Estestv. Nauki 1990, No. 3(175), 29-33 (1990). MSC: 35J15 35E99 35B65 PDF BibTeX XML Cite \textit{P. S. Avetisyan}, Uch. Zap. Erevan. Gos. Univ., Estestv. Nauki 1990, No. 3(175), 29--33 (1990; Zbl 0788.35028)
Zaidman, S. An introduction to the theory of partial differential equations. (Une introduction à la théorie des équations aux dérivées partielles.) (French) Zbl 0756.35001 Montréal: Centre de Recherches Mathématiques, Université de Montréal. xi, 138 p. (1989). Reviewer: J.Stará (Praha) MSC: 35-01 35Dxx 35A15 PDF BibTeX XML Cite \textit{S. Zaidman}, Une introduction à la théorie des équations aux dérivées partielles. Montréal: Centre de Recherches Mathématiques, Université de Montréal (1989; Zbl 0756.35001)
Avetisyan, P. S. The resolvent of a semielliptic operator with constant coefficients. (Russian) Zbl 0733.47007 Matematika 6, 5-16 (1988). Reviewer: I.E.Tralle (Minsk) MSC: 47A10 46F05 35A22 46F12 PDF BibTeX XML Cite \textit{P. S. Avetisyan}, Matematika 6, 5--16 (1988; Zbl 0733.47007)
Leguillon, D.; Sanchez-Palencia, E. Computation of singular solutions in elliptic problems and elasticity. (English) Zbl 0647.73010 Recherches en Mathématiques Appliquées, 5. Paris etc.: Masson. 200 p. (1987); Chichester etc.: John Wiley & Sons; £19.95 (1987). Reviewer: P.P.Teodorescu MSC: 74B99 74-02 65H17 74S30 74E30 65K10 35B40 35J05 35E99 74G70 PDF BibTeX XML
Kulikov, A. A. On the fundamental solutions of singular differential operators with constant coefficients. (Russian) Zbl 0631.35011 Operator equations in functional spaces, Interuniv. Collect. sci. Works, Voronezh 1986, 47-52 (1986). Reviewer: K.Barckow MSC: 35E05 PDF BibTeX XML
Schechter, Martin Spectra of partial differential operators. (2nd ed.). (English) Zbl 0607.35005 North-Holland Series in Applied Mathematics and Mechanics, Vol. 14. Amsterdam - New York - Oxford: North-Holland. XIII, 310 p. $ 49.00; Dfl. 160.00 (1986). Reviewer: G.Bottaro MSC: 35-02 35P05 47F05 81Q10 35E20 35B20 PDF BibTeX XML
Ashmyanskij, V. V. On boundary value problems for an eight-dimensional analogue of the Cauchy-Riemann system. (Russian) Zbl 0547.35043 Differ. Uravn. 20, No. 1, 172-174 (1984). Reviewer: B.Nowak MSC: 35J55 35F05 35E15 35S05 35B65 PDF BibTeX XML Cite \textit{V. V. Ashmyanskij}, Differ. Uravn. 20, No. 1, 172--174 (1984; Zbl 0547.35043)
Folland, G. B. Lectures on partial differential equations. Delivered at the Indian Institute of Science, Bangalore. Notes by K. T. Joseph and S. Thangavelu. (English) Zbl 0529.35005 Lectures on Mathematics and Physics. Mathematics, 70. Tata Institute of Fundamental Research, Bombay. Berlin-Heidelberg-New York: Springer- Verlag. II, 164 p. DM 16.00; $ 6.90 (1983). MSC: 35-02 35E05 35A22 42A38 35G05 35S05 46E35 35B45 35J05 35K05 35L05 PDF BibTeX XML
Ashurov, R. R. Nonexistence of localization of spectral decompositions associated with elliptic operators. (English. Russian original) Zbl 0558.35049 Math. Notes 30, 760-764 (1982); translation from Mat. Zametki 30, 535-542 (1981). Reviewer: D.Robert MSC: 35P10 35J30 35E20 PDF BibTeX XML Cite \textit{R. R. Ashurov}, Math. Notes 30, 760--764 (1982; Zbl 0558.35049); translation from Mat. Zametki 30, 535--542 (1981) Full Text: DOI
Chauveheid, Paul Noyaux des fonctions spectrales généralisées et des resolvants généralises de problèmes aux limites elliptiques. (French) Zbl 0486.47016 Actualites mathematiques, Actes 6e Congr. Group. Math. Expr. Latine, Luxembourg 1981, 337-339 (1982). MSC: 47B15 47F05 35J40 47A10 45P05 30E20 PDF BibTeX XML
Gelman, I. W.; Mazja, W. G. Abschätzungen für Differentialoperatoren im Halbraum. Übers. aus dem Russischen von Werner Plischke und Ehrhard Herbst. In dt. Spr. hrsg. von G. Wildenhain. Lizenzausg. (German) Zbl 0481.47030 Basel - Boston - Stuttgart: Birkhäuser Verlag. 221 S. SFr. 63.00 (1982). MSC: 47F05 47-02 26D10 46E35 49J40 PDF BibTeX XML
Gelman, I. W.; Mazja, W. G. Abschätzungen für Differentialoperatoren im Halbraum. Übers. aus dem Russ. von Werner Plischke und Ehrhard Herbst. In dt. Sprache hrsg. von G. Wildenhain. (German) Zbl 0499.47028 Mathematische Lehrbücher und Monographien, II. Abteilung: Mathematische Monograhien, Bd. 54. Berlin: Akademie Verlag. 221 S. M 45.00 (1981). MSC: 47F05 47-02 46E35 26D10 49J40 PDF BibTeX XML
Gorbajchuk, V. I.; Dobrotvor, I. G. Conditions for the oscillation of solutions of a class of elliptic equations of high orders with constant coefficients. (English) Zbl 0478.35008 Ukr. Math. J. 32, 385-391 (1981). MSC: 35B05 35J30 35E99 PDF BibTeX XML Cite \textit{V. I. Gorbajchuk} and \textit{I. G. Dobrotvor}, Ukr. Math. J. 32, 385--391 (1981; Zbl 0478.35008) Full Text: DOI
Griffel, D. H. Applied functional analysis. (English) Zbl 0461.46001 Ellis Horwood Series in Mathematics and its Applications. Chichester: Ellis Horwood Limited, Publishers. New York etc.: Halsted Press: a division of John Wiley & Sons. 386 p. £25.00 (1981). MSC: 46-01 46C05 46F05 46B03 46B10 46E15 46E20 46E30 46E35 46F10 46F12 47A05 47A10 47A53 47A70 47B06 47B38 47D03 47E05 47F05 47Gxx 47H10 47J05 47J25 49R50 34A30 34A35 34L99 34C15 34D99 34E99 35A05 35A08 35A15 35A22 35B32 35B35 35C20 35E05 35J05 35K05 35L05 35J15 35J20 35J30 35J35 35P05 42A16 42A20 42A65 42B05 45B05 45C05 45D05 45G10 70J25 70K20 70K30 37G99 76R99 76U05 PDF BibTeX XML
Eskin, Michael Elliptic overdetermined system of two equations in a smooth three- dimensional domain. (English) Zbl 0463.35016 Commun. Partial Differ. Equations 5, 935-968 (1980). MSC: 35F15 35N05 35J99 35S99 PDF BibTeX XML Cite \textit{M. Eskin}, Commun. Partial Differ. Equations 5, 935--968 (1980; Zbl 0463.35016) Full Text: DOI
Kuchment, P. A. Representations of the solutions of linear partial differential equations with constant and periodic coefficients (survey). (Russian) Zbl 0444.35008 Theory of operator equations, Work Collect., Voronezh 1979, 62-69 (1979). MSC: 35C05 35C99 35E05 PDF BibTeX XML
Keller, Eckart Über das Randverhalten der Lösungen gleichmäßig elliptischer Differentialoperatoren im Halbraum. (German) Zbl 0416.35006 Beitr. Anal. 13, 69-75 (1979). MSC: 35B30 35J30 35J40 35C15 35J67 PDF BibTeX XML Cite \textit{E. Keller}, Beitr. Anal. 13, 69--75 (1979; Zbl 0416.35006)
Bagirov, L. A.; Kondratjev, V. A. On a class of elliptic equations in \(R^n\). (Russian) Zbl 0423.35080 Tr. Semin. S.L. Soboleva 1978, No. 2, 5-16 (1978). MSC: 35R20 35S05 46E35 35J40 PDF BibTeX XML
Maz’ya, V. G.; Plamenevskij, B. A. Abschätzungen der Greenschen Funktionen und Schaudersche Abschätzungen der Lösungen elliptischer Randwertprobleme in einem diedrischen Winkel. (Russian) Zbl 0408.35014 Sib. Mat. Zh. 19, 1064-1082 (1978). MSC: 35B45 35E99 35J40 35A99 46E35 PDF BibTeX XML Cite \textit{V. G. Maz'ya} and \textit{B. A. Plamenevskij}, Sib. Mat. Zh. 19, 1064--1082 (1978; Zbl 0408.35014)
Il’kiv, V. S.; Polishchuk, V. N. A boundary value problem with nonlocal conditions for differential operators with real constant coefficients. (Ukrainian) Zbl 0405.35018 Questions of qualitative theory of differential equations and their applications, Collect. sci. Works, Acad. Sci. Ukr. SSR, Inst. Math., Kiev, 15-16 (1978). MSC: 35E15 35R20 35J15 35F15 PDF BibTeX XML
Gruzewska, Halina Milicer Sur les solutions speciales et modifiees des opérateurs différentiels p- paraboliques. (French) Zbl 0402.35054 Publ. Cent. Rech. Math. Pures, Sér. III 2, 39 p. (1978). MSC: 35K40 35E05 35A08 35J45 PDF BibTeX XML
Vishik, M. I. Fundamental solutions of infinite-dimensional elliptic operators of arbitrary order with constant coefficients. (English. Russian original) Zbl 0284.35020 Sov. Math., Dokl. 14, 159-162 (1973); translation from Dokl. Akad. Nauk SSSR 208, 764-767 (1973). MSC: 35J30 35E05 35D05 35R20 35K25 PDF BibTeX XML Cite \textit{M. I. Vishik}, Sov. Math., Dokl. 14, 159--162 (1973; Zbl 0284.35020); translation from Dokl. Akad. Nauk SSSR 208, 764--767 (1973)