Benedikt, Jiri; Bobkov, Vladimir E.; Girg, Petr; Kotrla, Lukas; Takac, Peter Nonuniqueness of solutions of initial-value problems for parabolic \(p\)-Laplacian. (English) Zbl 06430819 Electron. J. Differ. Equ. 2015, Paper No. 38, 7 p. (2015). MSC: 35B05 35B30 35K15 35K55 35K65 PDF BibTeX XML Cite \textit{J. Benedikt} et al., Electron. J. Differ. Equ. 2015, Paper No. 38, 7 p. (2015; Zbl 06430819) Full Text: EMIS OpenURL
Abdellaoui, Boumediene; Dall’Aglio, Andrea; Peral, Ireneo Regularity and nonuniqueness results for parabolic problems arising in some physical models, having natural growth in the gradient. (English) Zbl 1166.35026 J. Math. Pures Appl. (9) 90, No. 3, 242-269 (2008). MSC: 35K60 35K55 35B05 35B40 PDF BibTeX XML Cite \textit{B. Abdellaoui} et al., J. Math. Pures Appl. (9) 90, No. 3, 242--269 (2008; Zbl 1166.35026) Full Text: DOI Link OpenURL
Drábek, P. A note on the nonuniqueness for some quasilinear eigenvalue problem. (English) Zbl 0956.35050 Appl. Math. Lett. 13, No. 7, 39-41 (2000). MSC: 35J65 46E35 35A05 PDF BibTeX XML Cite \textit{P. Drábek}, Appl. Math. Lett. 13, No. 7, 39--41 (2000; Zbl 0956.35050) Full Text: DOI OpenURL
Lieberman, Gary M. Nonuniqueness for some linear oblique derivative problems for elliptic equations. (English) Zbl 1064.35508 Commentat. Math. Univ. Carol. 40, No. 3, 477-481 (1999). Reviewer: Dagmar Medková (Praha) MSC: 35J25 35A05 35J05 PDF BibTeX XML Cite \textit{G. M. Lieberman}, Commentat. Math. Univ. Carol. 40, No. 3, 477--481 (1999; Zbl 1064.35508) Full Text: EuDML OpenURL
Ben-Artzi, Matania; Souplet, Philippe; Weissler, Fred B. On nonexistence and nonuniqueness of solutions of the Cauchy problem for a semilinear parabolic equation. (Sur la non-existence et la non-unicité des solutions du problème de Cauchy pour une équation parabolique semi-linéaire.) (French. Abridged English version) Zbl 0938.35068 C. R. Acad. Sci., Paris, Sér. I, Math. 329, No. 5, 371-376 (1999). MSC: 35K15 35R25 35K55 35A07 PDF BibTeX XML Cite \textit{M. Ben-Artzi} et al., C. R. Acad. Sci., Paris, Sér. I, Math. 329, No. 5, 371--376 (1999; Zbl 0938.35068) Full Text: DOI OpenURL
Safonov, Mikhail V. Nonuniqueness for second-order elliptic equations with measurable coefficients. (English) Zbl 0924.35004 SIAM J. Math. Anal. 30, No. 4, 879-895 (1999). MSC: 35A05 35B27 35J25 60G44 60J60 PDF BibTeX XML Cite \textit{M. V. Safonov}, SIAM J. Math. Anal. 30, No. 4, 879--895 (1999; Zbl 0924.35004) Full Text: DOI OpenURL
Dix, Daniel B. Nonuniqueness and uniqueness in the initial-value problem for Burgers’ equation. (English) Zbl 0852.35123 SIAM J. Math. Anal. 27, No. 3, 708-724 (1996). MSC: 35Q53 35A07 35K55 35R25 PDF BibTeX XML Cite \textit{D. B. Dix}, SIAM J. Math. Anal. 27, No. 3, 708--724 (1996; Zbl 0852.35123) Full Text: DOI Link OpenURL
Konyukhova, N. B. Singular Cauchy problems for singularly perturbed systems of nonlinear ordinary differential equations. I. (English. Russian original) Zbl 0874.34007 Differ. Equations 32, No. 1, 54-63 (1996); translation from Differ. Uravn. 32, No. 1, 52-61 (1996). Reviewer: V.Chernyatin (Szczecin) MSC: 34A34 34B15 PDF BibTeX XML Cite \textit{N. B. Konyukhova}, Differ. Equations 32, No. 1, 54--63 (1996; Zbl 0874.34007); translation from Differ. Uravn. 32, No. 1, 52--61 (1996) OpenURL
Wu, Zhuoqun; Yin, Jingxue Some properties of solutions for a nonlinear diffusion system. I. (English) Zbl 0879.35068 Northeast. Math. J. 12, No. 4, 475-482 (1996). MSC: 35K45 35B05 35K55 92D25 35A05 PDF BibTeX XML Cite \textit{Z. Wu} and \textit{J. Yin}, Northeast. Math. J. 12, No. 4, 475--482 (1996; Zbl 0879.35068) OpenURL
Bentrad, A. The characteristic Cauchy problem with singular data. Uniqueness and nonuniqueness of solutions. (Problème de Cauchy caractéristique à données singulières. Unicité et non unicité de la solution.) (French) Zbl 0813.35011 Analysis 14, No. 2-3, 303-310 (1994). MSC: 35C05 35A20 35A07 PDF BibTeX XML Cite \textit{A. Bentrad}, Analysis 14, No. 2--3, 303--310 (1994; Zbl 0813.35011) Full Text: DOI OpenURL
Brunovský, Pavol Controlling nonuniqueness of local invariant manifolds. (English) Zbl 0783.58061 J. Reine Angew. Math. 446, 115-135 (1994). Reviewer: P.Brunovský (Bratislava) MSC: 37A30 34L15 37D15 PDF BibTeX XML Cite \textit{P. Brunovský}, J. Reine Angew. Math. 446, 115--135 (1994; Zbl 0783.58061) Full Text: DOI Crelle EuDML OpenURL
Cima, J. A.; Derrick, W. R. Positive solutions of a nonlinear elliptic equation. (English) Zbl 0792.35013 Complex Variables, Theory Appl. 21, No. 3-4, 179-187 (1993). Reviewer: J.A.Cima (Chapel Hill) MSC: 35B05 35C10 35J65 PDF BibTeX XML Cite \textit{J. A. Cima} and \textit{W. R. Derrick}, Complex Variables, Theory Appl. 21, No. 3--4, 179--187 (1993; Zbl 0792.35013) Full Text: DOI OpenURL
Nowak, Christine Some remarks on a paper by Samimi on nonuniqueness criteria for ordinary differential equations. (English) Zbl 0792.34002 Appl. Anal. 47, No. 1, 39-44 (1992). Reviewer: C.Nowak (Klagenfurt) MSC: 34A12 PDF BibTeX XML Cite \textit{C. Nowak}, Appl. Anal. 47, No. 1, 39--44 (1992; Zbl 0792.34002) Full Text: DOI OpenURL
Burskij, V. P. Breakdown of uniqueness of solutions of the Dirichlet problem for elliptic systems in a disc. (English. Russian original) Zbl 0732.35012 Math. Notes 48, No. 3, 894-897 (1990); translation from Mat. Zametki 48, No. 3, 32-36 (1990). MSC: 35E20 35A05 PDF BibTeX XML Cite \textit{V. P. Burskij}, Math. Notes 48, No. 3, 894--897 (1990; Zbl 0732.35012); translation from Mat. Zametki 48, No. 3, 32--36 (1990) Full Text: DOI OpenURL
Burskij, V. P. On the violation of uniqueness of the solution of the Dirichlet problem for elliptic problems in the disk. (Russian) Zbl 0715.35016 Mat. Zametki 48, No. 3, 32-36 (1990). Reviewer: I.J.Dorfman MSC: 35E20 35A05 PDF BibTeX XML Cite \textit{V. P. Burskij}, Mat. Zametki 48, No. 3, 32--36 (1990; Zbl 0715.35016) OpenURL
Glimm, J. Nonuniqueness of solutions for Riemann problems. (English) Zbl 0677.35068 Nonlinear hyperbolic equations-theory, computation methods, and applications, Proc. 2nd Int. Conf., Aachen/FRG 1988, Notes Numer. Fluid Mech. 24, 169-178 (1989). Reviewer: M.Cinquini-Cibrario MSC: 35L65 35A05 PDF BibTeX XML OpenURL
Carbonaro, Bruno Some examples of nonuniqueness of solutions to the equation of linear elastodynamics. (English) Zbl 0622.73003 J. Elasticity 17, 207-222 (1987). Reviewer: S.Minagawa MSC: 74Axx 74G30 74H25 35A05 PDF BibTeX XML Cite \textit{B. Carbonaro}, J. Elasticity 17, 207--222 (1987; Zbl 0622.73003) Full Text: DOI OpenURL
Ni, Wei-Ming Uniqueness, nonuniqueness and related questions of noninear elliptic and parabolic equations. (English) Zbl 0631.35028 Nonlinear functional analysis and its applications, Proc. Summer Res. Inst., Berkeley/Calif. 1983, Proc. Symp. Pure Math. 45/2, 229-241 (1986). Reviewer: S.Salsa MSC: 35J60 35K55 35R35 35B35 35B40 35A05 PDF BibTeX XML OpenURL
Shearer, Michael Nonuniqueness of admissible solutions of Riemann initial value problems for a system of conservation laws of mixed type. (English) Zbl 0613.35048 Arch. Ration. Mech. Anal. 93, 45-59 (1986). Reviewer: J.Walter MSC: 35L65 35M99 35A05 35B40 35L67 PDF BibTeX XML Cite \textit{M. Shearer}, Arch. Ration. Mech. Anal. 93, 45--59 (1986; Zbl 0613.35048) Full Text: DOI OpenURL
Nakane, Shizuo Non-uniqueness in the Cauchy problem for partial differential operators with multiple characteristics. II. (English) Zbl 0646.35009 Publ. Res. Inst. Math. Sci. 21, 699-717 (1985). MSC: 35G10 35A05 35A30 PDF BibTeX XML Cite \textit{S. Nakane}, Publ. Res. Inst. Math. Sci. 21, 699--717 (1985; Zbl 0646.35009) Full Text: DOI OpenURL
Chobanov, Georgi I. Some nonuniqueness results for second order semilinear elliptic equations. (English) Zbl 0601.35032 Serdica 11, 221-228 (1985). Reviewer: M.Chicco MSC: 35J60 35J65 35A05 35J25 PDF BibTeX XML Cite \textit{G. I. Chobanov}, Serdica 11, 221--228 (1985; Zbl 0601.35032) OpenURL
Robbiano, L. Non unicité du problème de Cauchy pour des opérateurs non elliptiques à symboles complexes. (Nonuniqueness of the Cauchy problem for nonelliptic operators with complex symbols). (French) Zbl 0599.35006 J. Differ. Equations 57, 200-223 (1985). Reviewer: J.-C.Nosmas MSC: 35A07 35G10 PDF BibTeX XML Cite \textit{L. Robbiano}, J. Differ. Equations 57, 200--223 (1985; Zbl 0599.35006) Full Text: DOI OpenURL
Ni, Wei-Ming; Sacks, Paul Singular behavior in nonlinear parabolic equations. (English) Zbl 0573.35046 Trans. Am. Math. Soc. 287, 657-671 (1985). Reviewer: O.John MSC: 35K55 35A05 35J60 35R25 PDF BibTeX XML Cite \textit{W.-M. Ni} and \textit{P. Sacks}, Trans. Am. Math. Soc. 287, 657--671 (1985; Zbl 0573.35046) Full Text: DOI OpenURL
Khe Kan Cher On nonuniqueness of solutions of some boundary value problems for degenerate equations. (English. Russian original) Zbl 0557.35083 Sov. Math., Dokl. 28, 504-506 (1983); translation from Dokl. Akad. Nauk SSSR 272, 1066-1068 (1983). Reviewer: G.Cimmino MSC: 35L80 35L20 35A05 PDF BibTeX XML Cite \textit{Khe Kan Cher}, Sov. Math., Dokl. 28, 504--506 (1983; Zbl 0557.35083); translation from Dokl. Akad. Nauk SSSR 272, 1066--1068 (1983) OpenURL
Rozendorn, Eh. R. On the possible nonuniqueness of solutions of the Monge-Ampère equation on a sphere. (English. Russian original) Zbl 0552.35026 Sov. Math., Dokl. 28, 91-94 (1983); translation from Dokl. Akad. Nauk SSSR 271, 297-300 (1983). Reviewer: C.Kalik MSC: 35J60 35A05 PDF BibTeX XML Cite \textit{Eh. R. Rozendorn}, Sov. Math., Dokl. 28, 91--94 (1983; Zbl 0552.35026); translation from Dokl. Akad. Nauk SSSR 271, 297--300 (1983) OpenURL
Tanana, V. P. On order-optimal regularization of linear operator equations under the condition of nonuniqueness of solutions. (English. Russian original) Zbl 0534.35082 Sov. Math., Dokl. 27, 295-297 (1983); translation from Dokl. Akad. Nauk SSSR 269, 37-38 (1983). Reviewer: B.Straughan MSC: 35R25 47A50 65M30 35A05 PDF BibTeX XML Cite \textit{V. P. Tanana}, Sov. Math., Dokl. 27, 295--297 (1983; Zbl 0534.35082); translation from Dokl. Akad. Nauk SSSR 269, 37--38 (1983) OpenURL
Höllig, Klaus; Nohel, John A. A diffusion equation with a nonmonotone constitutive function. (English) Zbl 0531.35045 Systems of nonlinear partial differential equations, Proc. NATO Adv. Study Inst., Oxford/U.K. 1982, NATO ASI Ser. Ser. C 111, 409-422 (1983). MSC: 35K60 35B45 35A05 PDF BibTeX XML OpenURL
Hoellig, Klaus Existence of infinitely many solutions for a forward backward heat equation. (English) Zbl 0524.35057 Trans. Am. Math. Soc. 278, 299-316 (1983). MSC: 35K55 35K65 35A05 PDF BibTeX XML Cite \textit{K. Hoellig}, Trans. Am. Math. Soc. 278, 299--316 (1983; Zbl 0524.35057) Full Text: DOI OpenURL
Dancer, E. N. Solvability of some asymptotically homogeneous elliptic problems. (English) Zbl 0565.35036 Partial differential equations, Miniconf. Canberra 1981, Proc. Cent. Math. Anal. Aust. Natl. Univ. 1, 106-111 (1982). Reviewer: R.Landes MSC: 35J60 35B30 35A05 PDF BibTeX XML OpenURL
Nakane, Shizuo Uniqueness and nonuniqueness in the Cauchy problem for a class of operators of degenerate type. (English) Zbl 0519.35012 Proc. Japan Acad., Ser. A 58, 147-149 (1982). MSC: 35F25 35A05 PDF BibTeX XML Cite \textit{S. Nakane}, Proc. Japan Acad., Ser. A 58, 147--149 (1982; Zbl 0519.35012) Full Text: DOI OpenURL
Aronson, D. G.; Chory, M. A.; Hall, G. R.; McGehee, R. P. Bifurcations from an invariant circle for two-parameter families of maps of the plane: a computer-assisted study. (English) Zbl 0499.70034 Commun. Math. Phys. 83, 303-354 (1982). MSC: 70K50 37C70 37D45 54C05 54C25 58C25 PDF BibTeX XML Cite \textit{D. G. Aronson} et al., Commun. Math. Phys. 83, 303--354 (1982; Zbl 0499.70034) Full Text: DOI OpenURL
Borok, V. M.; Zhitomirskiĭ, Ya. I. The Cauchy problem for loaded differential equations. I: Uniqueness. (English) Zbl 0549.35056 Sov. Math. 25, No. 9, 4-12 (1981). MSC: 35K30 35A05 35R05 PDF BibTeX XML Cite \textit{V. M. Borok} and \textit{Ya. I. Zhitomirskiĭ}, Sov. Math. 25, No. 9, 4--12 (1981; Zbl 0549.35056) OpenURL
Borok, V. M.; Zhitomirskiĭ, Ya. I. The Cauchy problem for linear loaded differential equations. I: Uniqueness. (Russian) Zbl 0496.35048 Izv. Vyssh. Uchebn. Zaved., Mat. 1981, No. 9(232), 5-12 (1981). MSC: 35K30 35A05 35R05 PDF BibTeX XML Cite \textit{V. M. Borok} and \textit{Ya. I. Zhitomirskiĭ}, Izv. Vyssh. Uchebn. Zaved., Mat. 1981, No. 9(232), 5--12 (1981; Zbl 0496.35048) OpenURL
Persson, Jan The wave operator and P-convexity. (English) Zbl 0479.35024 Boll. Unione Mat. Ital., V. Ser., B 18, 591-604 (1981). MSC: 35E10 35L05 35A05 35D05 PDF BibTeX XML Cite \textit{J. Persson}, Boll. Unione Mat. Ital., V. Ser., B 18, 591--604 (1981; Zbl 0479.35024) OpenURL
Manselli, Paolo A nonexistence and nonuniqueness example in Sobolev spaces for elliptic equations in nondivergence form. (English) Zbl 0431.35036 Boll. Unione Mat. Ital., V. Ser., A 17, 302-306 (1980). MSC: 35J25 35A05 46E35 PDF BibTeX XML Cite \textit{P. Manselli}, Boll. Unione Mat. Ital., V. Ser., A 17, 302--306 (1980; Zbl 0431.35036) OpenURL