Lindgren, Erik; Monneau, Régis Pointwise estimates for the heat equation. Application to the free boundary of the obstacle problem with Dini coefficients. (English) Zbl 1286.35275 Indiana Univ. Math. J. 62, No. 1, 171-199 (2013). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35R35 35K05 35K85 PDFBibTeX XMLCite \textit{E. Lindgren} and \textit{R. Monneau}, Indiana Univ. Math. J. 62, No. 1, 171--199 (2013; Zbl 1286.35275) Full Text: DOI arXiv Link
Wu, Junde; Zhou, Fujun Asymptotic behavior of solutions of a free boundary problem modeling the growth of tumors with fluid-like tissue under the action of inhibitors. (English) Zbl 1323.35221 Trans. Am. Math. Soc. 365, No. 8, 4181-4207 (2013). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35R35 35B40 35Q92 92C37 PDFBibTeX XMLCite \textit{J. Wu} and \textit{F. Zhou}, Trans. Am. Math. Soc. 365, No. 8, 4181--4207 (2013; Zbl 1323.35221) Full Text: DOI
Abergel, Frederic; Bailly, Jacques-Herbert Stationary free surface viscous flows without surface tension in three dimensions. (English) Zbl 1274.35279 Differ. Integral Equ. 25, No. 9-10, 801-820 (2012). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35Q35 76D03 35Q30 PDFBibTeX XMLCite \textit{F. Abergel} and \textit{J.-H. Bailly}, Differ. Integral Equ. 25, No. 9--10, 801--820 (2012; Zbl 1274.35279)
Lindgren, Erik; Prajapat, Jyotshana V. A two-phase parabolic free boundary problem with coefficients below the Lipschitz threshold. (English) Zbl 1253.35225 Potential Anal. 37, No. 2, 103-123 (2012). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35R35 35K55 PDFBibTeX XMLCite \textit{E. Lindgren} and \textit{J. V. Prajapat}, Potential Anal. 37, No. 2, 103--123 (2012; Zbl 1253.35225) Full Text: DOI
Rossi, Julio D.; Teixeira, Eduardo V. A limiting free boundary problem ruled by Aronsson’s equation. (English) Zbl 1236.35210 Trans. Am. Math. Soc. 364, No. 2, 703-719 (2012). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35R35 35J70 49J20 PDFBibTeX XMLCite \textit{J. D. Rossi} and \textit{E. V. Teixeira}, Trans. Am. Math. Soc. 364, No. 2, 703--719 (2012; Zbl 1236.35210) Full Text: DOI arXiv
Lyaghfouri, A. A minimum problem with free boundary for the \(p(x)\)-Laplace operator. (English) Zbl 1241.35222 Adv. Nonlinear Stud. 11, No. 1, 25-61 (2011). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35R35 35B65 35J60 35J70 PDFBibTeX XMLCite \textit{A. Lyaghfouri}, Adv. Nonlinear Stud. 11, No. 1, 25--61 (2011; Zbl 1241.35222) Full Text: DOI
Ren, Xiaofeng; Wei, Juncheng A toroidal tube solution to a problem involving mean curvature and Newtonian potential. (English) Zbl 1227.35247 Interfaces Free Bound. 13, No. 1, 127-154 (2011). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35R35 82D60 PDFBibTeX XMLCite \textit{X. Ren} and \textit{J. Wei}, Interfaces Free Bound. 13, No. 1, 127--154 (2011; Zbl 1227.35247) Full Text: DOI
Kim, Inwon C.; Požár, Norbert Viscosity solutions for the two-phase Stefan problem. (English) Zbl 1216.35181 Commun. Partial Differ. Equations 36, No. 1-3, 42-66 (2011). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35R35 80A22 35B51 35D40 PDFBibTeX XMLCite \textit{I. C. Kim} and \textit{N. Požár}, Commun. Partial Differ. Equations 36, No. 1--3, 42--66 (2011; Zbl 1216.35181) Full Text: DOI arXiv
Pronina, E. A. Small movements and normal oscillations of barotropic gas in bounded domain. (Russian) Zbl 1249.35236 Tr. Inst. Prikl. Mat. Mekh. 20, 130-138 (2010). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35P30 47J10 PDFBibTeX XMLCite \textit{E. A. Pronina}, Tr. Inst. Prikl. Mat. Mekh. 20, 130--138 (2010; Zbl 1249.35236)
Kalita, E. A. Solvability for nonlinear elliptic systems of nonstrictly divergent form under degeneration of ellipticity. (Russian) Zbl 1249.35347 Tr. Inst. Prikl. Mat. Mekh. 20, 95-101 (2010). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35R30 35K65 PDFBibTeX XMLCite \textit{E. A. Kalita}, Tr. Inst. Prikl. Mat. Mekh. 20, 95--101 (2010; Zbl 1249.35347)
Hryntsiv, N. M. Inverse problems for degenerate parabolic equations with degeneration. (Ukrainian) Zbl 1249.35344 Tr. Inst. Prikl. Mat. Mekh. 20, 48-58 (2010). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35R30 35K65 PDFBibTeX XMLCite \textit{N. M. Hryntsiv}, Tr. Inst. Prikl. Mat. Mekh. 20, 48--58 (2010; Zbl 1249.35344)
Bozhonok, E. V. Pseudoquadratic functionals in locally convex Sobolev space \(W^1_2\). (Russian) Zbl 1249.49027 Tr. Inst. Prikl. Mat. Mekh. 20, 21-29 (2010). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 49K05 49K27 PDFBibTeX XMLCite \textit{E. V. Bozhonok}, Tr. Inst. Prikl. Mat. Mekh. 20, 21--29 (2010; Zbl 1249.49027)
Voitovich, M. V. Examples of unbounded generalized solutions of nonlinear fourth-order equations with strengthened coercivity. (English) Zbl 1249.35038 Tr. Inst. Prikl. Mat. Mekh. 21, 39-44 (2010). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35B65 35J40 PDFBibTeX XMLCite \textit{M. V. Voitovich}, Tr. Inst. Prikl. Mat. Mekh. 21, 39--44 (2010; Zbl 1249.35038)
Shavrova, O. A. About evaluation of multiple transformation of convolution type in \(L^2_p\) spaces. (English) Zbl 1250.42009 Tr. Inst. Prikl. Mat. Mekh. 21, 238-244 (2010). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 42A10 42A85 PDFBibTeX XMLCite \textit{O. A. Shavrova}, Tr. Inst. Prikl. Mat. Mekh. 21, 238--244 (2010; Zbl 1250.42009)
Rudakova, O. A. On \(\Gamma\)-compactness of a sequence of integral functionals whose values do not depend on gradients of functions. (Russian) Zbl 1249.49020 Tr. Inst. Prikl. Mat. Mekh. 21, 188-193 (2010). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 49J45 35B27 PDFBibTeX XMLCite \textit{O. A. Rudakova}, Tr. Inst. Prikl. Mat. Mekh. 21, 188--193 (2010; Zbl 1249.49020)
Gorban, Yu. S. On a nonweighted condition of summability of T-solutions of degenerate anisotropic variational inequalities. (English) Zbl 1249.35035 Tr. Inst. Prikl. Mat. Mekh. 21, 56-63 (2010). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35B65 35J70 35J87 PDFBibTeX XMLCite \textit{Yu. S. Gorban}, Tr. Inst. Prikl. Mat. Mekh. 21, 56--63 (2010; Zbl 1249.35035)
Burskii, N. M.; Zaretskaya, A. A. On uniqueness in a boundary value problem for system of equation of the first order. (English) Zbl 1249.35045 Tr. Inst. Prikl. Mat. Mekh. 21, 32-38 (2010). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35F05 35A01 35F15 PDFBibTeX XMLCite \textit{N. M. Burskii} and \textit{A. A. Zaretskaya}, Tr. Inst. Prikl. Mat. Mekh. 21, 32--38 (2010; Zbl 1249.35045)
Giacomelli, Lorenzo; Knüpfer, Hans A free boundary problem of fourth order: classical solutions in weighted Hölder spaces. (English) Zbl 1223.35208 Commun. Partial Differ. Equations 35, No. 10-12, 2059-2091 (2010). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35K65 35R35 35A01 35Q35 76A20 76D08 76D27 PDFBibTeX XMLCite \textit{L. Giacomelli} and \textit{H. Knüpfer}, Commun. Partial Differ. Equations 35, No. 10--12, 2059--2091 (2010; Zbl 1223.35208) Full Text: DOI
Kusaka, Yoshiaki On a free boundary problem describing the phase transition in an incompressible viscous fluid. (English) Zbl 1206.35264 Interfaces Free Bound. 12, No. 2, 157-185 (2010). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35R35 76D27 76D05 80A22 PDFBibTeX XMLCite \textit{Y. Kusaka}, Interfaces Free Bound. 12, No. 2, 157--185 (2010; Zbl 1206.35264) Full Text: DOI
Tesdall, Allen M.; Keyfitz, Barbara L. A continuous, two-way free boundary in the unsteady transonic small disturbance equations. (English) Zbl 1200.35337 J. Hyperbolic Differ. Equ. 7, No. 2, 317-338 (2010). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35R35 35M32 35Q35 76H05 PDFBibTeX XMLCite \textit{A. M. Tesdall} and \textit{B. L. Keyfitz}, J. Hyperbolic Differ. Equ. 7, No. 2, 317--338 (2010; Zbl 1200.35337) Full Text: DOI
Ferrari, Fausto; Salsa, Sandro Regularity of the solutions for parabolic two-phase free boundary problems. (English) Zbl 1193.35256 Commun. Partial Differ. Equations 35, No. 6, 1095-1129 (2010). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35R35 35K10 35B65 35D40 PDFBibTeX XMLCite \textit{F. Ferrari} and \textit{S. Salsa}, Commun. Partial Differ. Equations 35, No. 6, 1095--1129 (2010; Zbl 1193.35256) Full Text: DOI
de Silva, Daniela; Valdinoci, Enrico A fully nonlinear problem with free boundary in the plane. (English) Zbl 1196.35232 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 9, No. 1, 111-132 (2010). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35R35 35J60 35N25 35B06 35B50 PDFBibTeX XMLCite \textit{D. de Silva} and \textit{E. Valdinoci}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 9, No. 1, 111--132 (2010; Zbl 1196.35232) Full Text: DOI arXiv
Baldi, Pietro; Toland, John F. Bifurcation and secondary bifurcation of heavy periodic hydroelastic travelling waves. (English) Zbl 1191.35273 Interfaces Free Bound. 12, No. 1, 1-22 (2010). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35R35 74B20 74F10 76B07 37G40 35B32 35C07 PDFBibTeX XMLCite \textit{P. Baldi} and \textit{J. F. Toland}, Interfaces Free Bound. 12, No. 1, 1--22 (2010; Zbl 1191.35273) Full Text: DOI arXiv Link
Escher, Joachim; Mucha, Piotr B. The surface diffusion flow on rough phase spaces. (English) Zbl 1188.35093 Discrete Contin. Dyn. Syst. 26, No. 2, 431-453 (2010). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35J93 35R35 35D30 35B30 35B35 80A22 PDFBibTeX XMLCite \textit{J. Escher} and \textit{P. B. Mucha}, Discrete Contin. Dyn. Syst. 26, No. 2, 431--453 (2010; Zbl 1188.35093) Full Text: DOI
Córdoba, Antonio; Córdoba, Diego; Gancedo, Francisco Interface evolution: water waves in 2-D. (English) Zbl 1183.35276 Adv. Math. 223, No. 1, 120-173 (2010). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35R35 35Q31 76B15 76B03 PDFBibTeX XMLCite \textit{A. Córdoba} et al., Adv. Math. 223, No. 1, 120--173 (2010; Zbl 1183.35276) Full Text: DOI arXiv
Panahov, G. M.; Abbasov, H. M.; Omrani, A. N. Numerical solution of equation of filtration in porous medium taking into account adsorption. (Russian) Zbl 1249.76063 Tr. Inst. Prikl. Mat. Mekh. 19, 184-190 (2009). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 76M20 76S05 PDFBibTeX XMLCite \textit{G. M. Panahov} et al., Tr. Inst. Prikl. Mat. Mekh. 19, 184--190 (2009; Zbl 1249.76063)
Kovalevskii, A. A.; Rudakova, O. A. \(\Gamma\)-convergence of integral functionals with degenerate integrands in periodically perforated domains. (English) Zbl 1249.35018 Tr. Inst. Prikl. Mat. Mekh. 19, 101-109 (2009). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35B27 49J40 PDFBibTeX XMLCite \textit{A. A. Kovalevskii} and \textit{O. A. Rudakova}, Tr. Inst. Prikl. Mat. Mekh. 19, 101--109 (2009; Zbl 1249.35018)
Dudyk, O. A. Small motions and normal oscillations of plane pendulum with cavity, filled by several capillar viscous liquids. (Russian) Zbl 1249.76023 Tr. Inst. Prikl. Mat. Mekh. 19, 72-80 (2009). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 76D03 76D99 PDFBibTeX XMLCite \textit{O. A. Dudyk}, Tr. Inst. Prikl. Mat. Mekh. 19, 72--80 (2009; Zbl 1249.76023)
Andronova, O. A. Spectral transmission problem with surface dissipation of energy. (Russian) Zbl 1249.35208 Tr. Inst. Prikl. Mat. Mekh. 19, 10-22 (2009). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35L20 34G10 47N20 PDFBibTeX XMLCite \textit{O. A. Andronova}, Tr. Inst. Prikl. Mat. Mekh. 19, 10--22 (2009; Zbl 1249.35208)
Vira, M. B. Two-point boundary problem for degenerate singularly perturbed system of differential equations in the case of multiple spectrum of principal operator. (Ukrainian) Zbl 1249.34158 Tr. Inst. Prikl. Mat. Mekh. 18, 19-28 (2009). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 34E05 34E15 34B15 PDFBibTeX XMLCite \textit{M. B. Vira}, Tr. Inst. Prikl. Mat. Mekh. 18, 19--28 (2009; Zbl 1249.34158)
Masyuta, E. A. Topology of splitting of multiple eigenvalues of real self-adjoint operators. (Russian) Zbl 1247.47006 Tr. Inst. Prikl. Mat. Mekh. 18, 123-132 (2009). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 47A75 47A10 PDFBibTeX XMLCite \textit{E. A. Masyuta}, Tr. Inst. Prikl. Mat. Mekh. 18, 123--132 (2009; Zbl 1247.47006)
Kirichenko, E. V. About solving of the first boundary-value problem for ultrahyperbolic equation in a ball. (Russian) Zbl 1249.35229 Tr. Inst. Prikl. Mat. Mekh. 18, 94-99 (2009). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35L82 33D90 35C10 PDFBibTeX XMLCite \textit{E. V. Kirichenko}, Tr. Inst. Prikl. Mat. Mekh. 18, 94--99 (2009; Zbl 1249.35229)
Degtyarev, S. P. Instantaneous shrinking of the support of a solution of the Cauchy problem for a quasilinear heat equation. (Russian) Zbl 1249.35023 Tr. Inst. Prikl. Mat. Mekh. 18, 47-54 (2009). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35B40 35K15 35K59 PDFBibTeX XMLCite \textit{S. P. Degtyarev}, Tr. Inst. Prikl. Mat. Mekh. 18, 47--54 (2009; Zbl 1249.35023)
Markowich, P. A.; Matevosyan, N.; Pietschmann, J.-F.; Wolfram, M.-T. On a parabolic free boundary equation modeling price formation. (English) Zbl 1183.35278 Math. Models Methods Appl. Sci. 19, No. 10, 1929-1957 (2009). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35R35 35K15 91B60 PDFBibTeX XMLCite \textit{P. A. Markowich} et al., Math. Models Methods Appl. Sci. 19, No. 10, 1929--1957 (2009; Zbl 1183.35278) Full Text: DOI
De Silva, Daniela; Jerison, David A singular energy minimizing free boundary. (English) Zbl 1185.35050 J. Reine Angew. Math. 635, 1-21 (2009). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35J20 35R35 49J20 31B05 PDFBibTeX XMLCite \textit{D. De Silva} and \textit{D. Jerison}, J. Reine Angew. Math. 635, 1--21 (2009; Zbl 1185.35050) Full Text: DOI
King, John R.; Mccue, Scott W. Quadrature domains and \(p\)-Laplacian growth. (English) Zbl 1179.35351 Complex Anal. Oper. Theory 3, No. 2, 453-469 (2009). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35R35 35B40 76D27 35C20 PDFBibTeX XMLCite \textit{J. R. King} and \textit{S. W. Mccue}, Complex Anal. Oper. Theory 3, No. 2, 453--469 (2009; Zbl 1179.35351) Full Text: DOI
Argiolas, Roberto; Ferrari, Fausto Flat free boundaries regularity in two-phase problems for a class of fully nonlinear elliptic operators with variable coefficients. (English) Zbl 1179.35349 Interfaces Free Bound. 11, No. 2, 177-199 (2009). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35R35 35B65 PDFBibTeX XMLCite \textit{R. Argiolas} and \textit{F. Ferrari}, Interfaces Free Bound. 11, No. 2, 177--199 (2009; Zbl 1179.35349) Full Text: DOI Link
Ghanem, Radouen Optimal control of unilateral obstacle problem with a source term. (English) Zbl 1179.35146 Positivity 13, No. 2, 321-338 (2009). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35J86 35R45 49J40 PDFBibTeX XMLCite \textit{R. Ghanem}, Positivity 13, No. 2, 321--338 (2009; Zbl 1179.35146) Full Text: DOI arXiv
Fasano, A.; Mancini, A. A phenomenon of waiting time in phase change problems driven by radiative heat transfer. (English) Zbl 1173.35125 Math. Methods Appl. Sci. 32, No. 9, 1105-1117 (2009). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35R35 80A22 PDFBibTeX XMLCite \textit{A. Fasano} and \textit{A. Mancini}, Math. Methods Appl. Sci. 32, No. 9, 1105--1117 (2009; Zbl 1173.35125) Full Text: DOI
Escher, Joachim; Matioc, Bogdan-Vasile A moving boundary problem for periodic Stokesian Hele-Shaw flows. (English) Zbl 1171.35129 Interfaces Free Bound. 11, No. 1, 119-137 (2009). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35R35 76D27 PDFBibTeX XMLCite \textit{J. Escher} and \textit{B.-V. Matioc}, Interfaces Free Bound. 11, No. 1, 119--137 (2009; Zbl 1171.35129) Full Text: DOI Link
Alt, Hans Wilhelm; Alt, Wolfgang Phase boundary dynamics: Transitions between ordered and disordered lipid monolayers. (English) Zbl 1171.35127 Interfaces Free Bound. 11, No. 1, 1-36 (2009). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35R35 35C20 PDFBibTeX XMLCite \textit{H. W. Alt} and \textit{W. Alt}, Interfaces Free Bound. 11, No. 1, 1--36 (2009; Zbl 1171.35127) Full Text: DOI Link
Voitovich, M. V. On the application of the properties of summability of solutions to nonlinear fourth-order equations with strengthened ellipticity to homogenization problems. (Russian) Zbl 1249.35106 Tr. Inst. Prikl. Mat. Mekh. 17, 25-30 (2008). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35J60 35J40 35D99 35B27 PDFBibTeX XMLCite \textit{M. V. Voitovich}, Tr. Inst. Prikl. Mat. Mekh. 17, 25--30 (2008; Zbl 1249.35106)
Shramenko, V. M. Critical point index for non-differentiable second-order elliptic operator with a strong growth of coefficients. (Ukrainian) Zbl 1247.47040 Tr. Inst. Prikl. Mat. Mekh. 17, 215-225 (2008). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 47H11 35J25 35J60 35B38 47N20 49J52 PDFBibTeX XMLCite \textit{V. M. Shramenko}, Tr. Inst. Prikl. Mat. Mekh. 17, 215--225 (2008; Zbl 1247.47040)
Markasheva, V. A. Local Hölder-continuity of solutions of quasilinear parabolic equations with a nonlinear operator of Baouendi-Grushin type. II. (Russian) Zbl 1249.35037 Tr. Inst. Prikl. Mat. Mekh. 17, 128-143 (2008). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35B65 35K15 35K59 35B45 PDFBibTeX XMLCite \textit{V. A. Markasheva}, Tr. Inst. Prikl. Mat. Mekh. 17, 128--143 (2008; Zbl 1249.35037)
Shramenko, V. M. Index of critical point for non-differentiable elliptic operator with strong growth of coefficients. (Ukrainian) Zbl 1247.47039 Tr. Inst. Prikl. Mat. Mekh. 16, 223-231 (2008). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 47H11 35J25 35B32 35B38 47N20 49J52 PDFBibTeX XMLCite \textit{V. M. Shramenko}, Tr. Inst. Prikl. Mat. Mekh. 16, 223--231 (2008; Zbl 1247.47039)
Boldovskaya, O. M. Existence and nonexistence of weak solution to Neumann problem for degenerate qusilinear parabolic equations in domains with noncompact boundary. Slow diffusion case. (Russian) Zbl 1249.35175 Tr. Inst. Prikl. Mat. Mekh. 16, 33-54 (2008). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35K65 35B33 35B45 PDFBibTeX XMLCite \textit{O. M. Boldovskaya}, Tr. Inst. Prikl. Mat. Mekh. 16, 33--54 (2008; Zbl 1249.35175)
Lindgren, Erik; Petrosyan, Arshak Regularity of the free boundary in a two-phase semilinear problem in two dimensions. (English) Zbl 1173.35127 Indiana Univ. Math. J. 57, No. 7, 3397-3418 (2008). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35R35 35B65 PDFBibTeX XMLCite \textit{E. Lindgren} and \textit{A. Petrosyan}, Indiana Univ. Math. J. 57, No. 7, 3397--3418 (2008; Zbl 1173.35127) Full Text: DOI Link
Escher, Joachim; Feng, Zhaoyong On the curve shortening flow with triple junction. (English) Zbl 1161.53056 Amann, Herbert (ed.) et al., Functional analysis and evolution equations. The Günter Lumer volume. Basel: Birkhäuser (ISBN 978-3-7643-7793-9/hbk). 223-238 (2008). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 53C44 35R35 35K57 82C70 PDFBibTeX XMLCite \textit{J. Escher} and \textit{Z. Feng}, in: Functional analysis and evolution equations. The Günter Lumer volume. Basel: Birkhäuser. 223--238 (2008; Zbl 1161.53056)
Caffarelli, Luis A.; Salsa, Sandro; Silvestre, Luis Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian. (English) Zbl 1148.35097 Invent. Math. 171, No. 2, 425-461 (2008). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35R35 26A33 35J25 35B65 PDFBibTeX XMLCite \textit{L. A. Caffarelli} et al., Invent. Math. 171, No. 2, 425--461 (2008; Zbl 1148.35097) Full Text: DOI arXiv
Ton, Bui An On a free boundary transmission problem for nonhomogeneous fluids. (English) Zbl 1148.35101 Chuong, N.M. (ed.) et al., Harmonic, wavelet and \(p\)-adic analysis. Based on the summer school, Quy Nhon, Vietnam, June 10–15, 2005. Hackensack, NJ: World Scientific (ISBN 978-981-270-549-5/hbk). 157-174 (2007). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35R35 35Q35 76N10 35D30 76B99 86A05 PDFBibTeX XMLCite \textit{B. A. Ton}, in: Harmonic, wavelet and \(p\)-adic analysis. Based on the summer school, Quy Nhon, Vietnam, June 10--15, 2005. Hackensack, NJ: World Scientific. 157--174 (2007; Zbl 1148.35101) Full Text: Link
Challal, Samia; Lyaghfouri, Abdeslem On the continuity of the free boundary in the problem \(\Delta _p u = -(h(x, y)\chi (u))_x\). (English) Zbl 1136.35105 Appl. Anal. 86, No. 9, 1177-1184 (2007). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35R35 35J60 PDFBibTeX XMLCite \textit{S. Challal} and \textit{A. Lyaghfouri}, Appl. Anal. 86, No. 9, 1177--1184 (2007; Zbl 1136.35105) Full Text: DOI
Kacprzyk, Piotr Free boundary problem for the equations of magnetohydrodynamic incompressible viscous fluid. (English) Zbl 1122.35113 Appl. Math. 34, No. 1, 75-95 (2007). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35Q35 76W05 PDFBibTeX XMLCite \textit{P. Kacprzyk}, Appl. Math. 34, No. 1, 75--95 (2007; Zbl 1122.35113) Full Text: DOI
Lyaghfouri, A. The dam problem. (English) Zbl 1193.35257 Chipot, Michel (ed.) et al., Handbook of differential equations: Stationary partial differential equations. Vol. III. Amsterdam: Elsevier/North Holland (ISBN 978-0-444-52846-9/hbk). Handbook of Differential Equations, 465-552 (2006). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35R35 76S05 35B65 76D03 76M30 PDFBibTeX XMLCite \textit{A. Lyaghfouri}, in: Handbook of differential equations: Stationary partial differential equations. Vol. III. Amsterdam: Elsevier/North Holland. 465--552 (2006; Zbl 1193.35257)
Pratsiovytyi, M. V.; Sotnikova, S. A. The \(\mathbb R^2\) space transformations preserving the self-similar dimension. (Russian) Zbl 1137.37342 Tr. Inst. Prikl. Mat. Mekh. 13, 142-147 (2006). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 37C45 28A78 PDFBibTeX XMLCite \textit{M. V. Pratsiovytyi} and \textit{S. A. Sotnikova}, Tr. Inst. Prikl. Mat. Mekh. 13, 142--147 (2006; Zbl 1137.37342)
Kirichenko, E. V. On the solution of a boundary problem in a polygon. (Russian) Zbl 1137.35406 Tr. Inst. Prikl. Mat. Mekh. 13, 103-109 (2006). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35M99 14H70 35A05 PDFBibTeX XMLCite \textit{E. V. Kirichenko}, Tr. Inst. Prikl. Mat. Mekh. 13, 103--109 (2006; Zbl 1137.35406)
Telitsyna, A. A. Dirichlet problem for the wave equation in a domain bounded by a biquadratic curve. (Russian) Zbl 1137.35402 Tr. Inst. Prikl. Mat. Mekh. 13, 198-210 (2006). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35L20 14H70 35L05 PDFBibTeX XMLCite \textit{A. A. Telitsyna}, Tr. Inst. Prikl. Mat. Mekh. 13, 198--210 (2006; Zbl 1137.35402)
Sleptsova, I. P. Phragmén-Lindelöf principle for the ”strong” quasi-linear evolution equations. (Russian) Zbl 1137.35315 Tr. Inst. Prikl. Mat. Mekh. 12, 172-177 (2006). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35B40 35G20 35K90 PDFBibTeX XMLCite \textit{I. P. Sleptsova}, Tr. Inst. Prikl. Mat. Mekh. 12, 172--177 (2006; Zbl 1137.35315)
Shramenko, V. N. About the points of bifurcation of Dirichlet problem for nondifferentiable elliptic operator of higher order. (Russian) Zbl 1137.35354 Tr. Inst. Prikl. Mat. Mekh. 12, 200-207 (2006). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35J30 47H11 35J60 PDFBibTeX XMLCite \textit{V. N. Shramenko}, Tr. Inst. Prikl. Mat. Mekh. 12, 200--207 (2006; Zbl 1137.35354)
Kovalevsky, A. A.; Rudakova, O. A. On a strong connectness of weighted Sobolev spaces and compactness of the sequences of its elements (in. (Russian) Zbl 1137.35313 Tr. Inst. Prikl. Mat. Mekh. 12, 85-99 (2006). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35B40 35J60 35B30 PDFBibTeX XMLCite \textit{A. A. Kovalevsky} and \textit{O. A. Rudakova}, Tr. Inst. Prikl. Mat. Mekh. 12, 85--99 (2006; Zbl 1137.35313)
Moiseenko, I. A. On a matrix basic solution on internal type for elliptic type systems reduced to a special form. (Russian) Zbl 1137.65440 Tr. Inst. Prikl. Mat. Mekh. 11, 84-98 (2006). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 65N99 35J55 30B99 PDFBibTeX XMLCite \textit{I. A. Moiseenko}, Tr. Inst. Prikl. Mat. Mekh. 11, 84--98 (2006; Zbl 1137.65440)
Solonnikov, V. A.; Frolova, E. V. Weighted estimates for the solution of a linear problem associated with the one-phase Stefan problem in the case when the specific heat tends to zero. (Russian, English) Zbl 1123.35093 Zap. Nauchn. Semin. POMI 336, 239-263 (2006); translation in J. Math. Sci., New York 143, No. 2, 2987-3002 (2007). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35R35 80A22 35B25 35K05 PDFBibTeX XMLCite \textit{V. A. Solonnikov} and \textit{E. V. Frolova}, Zap. Nauchn. Semin. POMI 336, 239--263 (2006; Zbl 1123.35093); translation in J. Math. Sci., New York 143, No. 2, 2987--3002 (2007) Full Text: Link
Blanchet, Adrien On the singular set of the parabolic obstacle problem. (English) Zbl 1121.35145 J. Differ. Equations 231, No. 2, 656-672 (2006). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35R35 35K85 PDFBibTeX XMLCite \textit{A. Blanchet}, J. Differ. Equations 231, No. 2, 656--672 (2006; Zbl 1121.35145) Full Text: DOI
Briozzo, Adriana C.; Tarzia, Domingo A. A one-phase Stefan problem for a non-classical heat equation with a heat flux condition on the fixed face. (English) Zbl 1120.35085 Appl. Math. Comput. 182, No. 1, 809-819 (2006). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35R35 35K20 35K55 45D05 PDFBibTeX XMLCite \textit{A. C. Briozzo} and \textit{D. A. Tarzia}, Appl. Math. Comput. 182, No. 1, 809--819 (2006; Zbl 1120.35085) Full Text: DOI
Shahgholian, Henrik; Weiss, Georg S. The two-phase membrane problem–an intersection-comparison approach to the regularity at branch points. (English) Zbl 1104.35074 Adv. Math. 205, No. 2, 487-503 (2006). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35R35 35J60 35B65 PDFBibTeX XMLCite \textit{H. Shahgholian} and \textit{G. S. Weiss}, Adv. Math. 205, No. 2, 487--503 (2006; Zbl 1104.35074) Full Text: DOI arXiv
Ham, YoonMee Global coupling effects on a free boundary problem for three-component reaction-diffusion system. (English) Zbl 1104.35073 J. Korean Math. Soc. 43, No. 3, 659-676 (2006). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35R35 35B32 35B25 35K20 35K57 PDFBibTeX XMLCite \textit{Y. Ham}, J. Korean Math. Soc. 43, No. 3, 659--676 (2006; Zbl 1104.35073) Full Text: DOI
Kim, Eun Heui Higher regularity for free boundary and tangential derivative problems and global solutions to regular reflections for the unsteady transonic small disturbance (UTSD) equations. (English) Zbl 1208.35062 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 64, No. 4, 844-855 (2006). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35J65 35J70 35R35 35M10 35L65 76H05 PDFBibTeX XMLCite \textit{E. H. Kim}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 64, No. 4, 844--855 (2006; Zbl 1208.35062) Full Text: DOI
Radkevich, E. V. Classical Verigin-Muskat problem: the regularization problem and internal layers. (English. Russian original) Zbl 1099.35181 J. Math. Sci., New York 133, No. 1, 1000-1044 (2006); translation from Sovrem. Mat. Prilozh. 16, 113-155 (2004). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35R35 35K85 35K50 80A22 PDFBibTeX XMLCite \textit{E. V. Radkevich}, J. Math. Sci., New York 133, No. 1, 1000--1044 (2006; Zbl 1099.35181); translation from Sovrem. Mat. Prilozh. 16, 113--155 (2004) Full Text: DOI
Radkevich, E. V. On stability conditions for stationary solutions of boundary-value problems with free boundary. (English. Russian original) Zbl 1099.35180 J. Math. Sci., New York 133, No. 1, 984-999 (2006); translation from Sovrem. Mat. Prilozh. 16, 98-112 (2004). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35R35 35B35 35J25 PDFBibTeX XMLCite \textit{E. V. Radkevich}, J. Math. Sci., New York 133, No. 1, 984--999 (2006; Zbl 1099.35180); translation from Sovrem. Mat. Prilozh. 16, 98--112 (2004) Full Text: DOI
Kirichenko, E. V. On solution of equation, arising in the Dirichlet problem for ultrahyperbolic equation in a ball. (Russian) Zbl 1137.33316 Tr. Inst. Prikl. Mat. Mekh. 10, 59-71 (2005). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 33D90 34B08 PDFBibTeX XMLCite \textit{E. V. Kirichenko}, Tr. Inst. Prikl. Mat. Mekh. 10, 59--71 (2005; Zbl 1137.33316)
Burskii, V. P.; Telitsyna, A. A. Eigenvalues of the wave operator in a ball with Dirichlet conditions on the boundary of the ball. (Russian) Zbl 1137.35407 Tr. Inst. Prikl. Mat. Mekh. 10, 16-23 (2005). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35P05 35P15 35L20 PDFBibTeX XMLCite \textit{V. P. Burskii} and \textit{A. A. Telitsyna}, Tr. Inst. Prikl. Mat. Mekh. 10, 16--23 (2005; Zbl 1137.35407)
Cecchini, Simone Qualitative properties of free boundaries with Bernoulli type conditions. (English) Zbl 1150.35081 Matematiche 60, No. 2, 439-443 (2005). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35R35 35J05 PDFBibTeX XMLCite \textit{S. Cecchini}, Matematiche 60, No. 2, 439--443 (2005; Zbl 1150.35081)
Mucha, Piotr Bogusław On the Stefan problem with surface tension in the \(L_p\) framework. (English) Zbl 1106.35148 Adv. Differ. Equ. 10, No. 8, 861-900 (2005). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35R35 80A22 35K55 74N20 PDFBibTeX XMLCite \textit{P. B. Mucha}, Adv. Differ. Equ. 10, No. 8, 861--900 (2005; Zbl 1106.35148)
Bizhanova, G. I.; Rodrigues, J. F. Classical solutions to parabolic systems with free boundary of Stefan type. (English) Zbl 1104.35071 Adv. Differ. Equ. 10, No. 12, 1345-1388 (2005). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35R35 80A22 35K60 35B65 PDFBibTeX XMLCite \textit{G. I. Bizhanova} and \textit{J. F. Rodrigues}, Adv. Differ. Equ. 10, No. 12, 1345--1388 (2005; Zbl 1104.35071)
Laurent, Lévi The positiveness problem for a class of degenerate parabolic-hyperbolic operators. (English) Zbl 1094.35067 Adv. Math. Sci. Appl. 15, No. 1, 307-333 (2005). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35K85 76S05 35B40 PDFBibTeX XMLCite \textit{L. Laurent}, Adv. Math. Sci. Appl. 15, No. 1, 307--333 (2005; Zbl 1094.35067)
Antoniouk, Alexandra Vict. Nonsingular smoothing representations for differential flows on manifolds. (English) Zbl 1082.58035 Nonlinear Bound. Value Probl. 15, 21-30 (2005). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 58J65 60J60 60H15 PDFBibTeX XMLCite \textit{A. Vict. Antoniouk}, Nonlinear Bound. Value Probl. 15, 21--30 (2005; Zbl 1082.58035)
McDowall, Stephen R. Optical tomography on simple Riemannian surfaces. (English) Zbl 1088.35069 Commun. Partial Differ. Equations 30, No. 9, 1379-1400 (2005). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35Q60 35R30 78A46 PDFBibTeX XMLCite \textit{S. R. McDowall}, Commun. Partial Differ. Equations 30, No. 9, 1379--1400 (2005; Zbl 1088.35069) Full Text: DOI
Scianna, Giuseppe; Tilli, Paolo A variational approach to the Hele-Shaw flow with injection. (English) Zbl 1088.35083 Commun. Partial Differ. Equations 30, No. 9, 1359-1378 (2005). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35R35 76D27 35A15 35J20 PDFBibTeX XMLCite \textit{G. Scianna} and \textit{P. Tilli}, Commun. Partial Differ. Equations 30, No. 9, 1359--1378 (2005; Zbl 1088.35083) Full Text: DOI
Dai, Shibin; Pego, Robert L. An upper bound on the coarsening rate for mushy zones in a phase field model. (English) Zbl 1075.35088 Interfaces Free Bound. 7, No. 2, 187-197 (2005). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35Q72 35R35 PDFBibTeX XMLCite \textit{S. Dai} and \textit{R. L. Pego}, Interfaces Free Bound. 7, No. 2, 187--197 (2005; Zbl 1075.35088) Full Text: DOI
Blank, Ivan A partial classification of the blowups of the singularities in a composite membrane problem. (English) Zbl 1075.35113 Poggi-Corradini, Pietro (ed.), The \(p\)-harmonic equation and recent advances in analysis. Proceedings of the 3rd prairie analysis seminar, Manhattan, KS, USA, October 17–18, 2003. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3610-2/pbk). Contemporary Mathematics 370, 11-16 (2005). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35R35 49R50 35P05 PDFBibTeX XMLCite \textit{I. Blank}, Contemp. Math. 370, 11--16 (2005; Zbl 1075.35113)
Friedman, Avner Symmetry-breaking bifurcations for free boundary problems. (English) Zbl 1075.35117 Chen, Gui-Qiang (ed.) et al., Nonlinear partial differential equations and related analysis. The Emphasis Year 2002–2003 program, Evanston, IL, USA, September 2002–July 2003. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3533-5/pbk). Contemporary Mathematics 371, 153-161 (2005). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35R35 92C50 35Q60 35J85 35B32 PDFBibTeX XMLCite \textit{A. Friedman}, Contemp. Math. 371, 153--161 (2005; Zbl 1075.35117)
Caffarelli, Luis; Salsa, Sandro A geometric approach to free boundary problems. (English) Zbl 1083.35001 Graduate Studies in Mathematics 68. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3784-2/hbk). ix, 270 p. (2005). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35-01 35R35 35J25 35K20 PDFBibTeX XMLCite \textit{L. Caffarelli} and \textit{S. Salsa}, A geometric approach to free boundary problems. Providence, RI: American Mathematical Society (AMS) (2005; Zbl 1083.35001)
Kuliev, M. A. Manydimensional inverse boundary problem for integrodifferential equation of hyperbolic type in bounded domain. (Russian) Zbl 1114.35333 Tr. Inst. Prikl. Mat. Mekh. 9, 131-140 (2004). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35R30 35L15 PDFBibTeX XMLCite \textit{M. A. Kuliev}, Tr. Inst. Prikl. Mat. Mekh. 9, 131--140 (2004; Zbl 1114.35333)
Kopychko, O. N. The shear leaky normal waves in a anisotropic layer, surrounded by a viscous liquid. (Russian) Zbl 1114.74399 Tr. Inst. Prikl. Mat. Mekh. 9, 122-130 (2004). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 74F10 74H45 PDFBibTeX XMLCite \textit{O. N. Kopychko}, Tr. Inst. Prikl. Mat. Mekh. 9, 122--130 (2004; Zbl 1114.74399)
Bonnet, A.; Monneau, R. On the mushy region arising between two fluids in a porous medium. (English) Zbl 1075.35114 Nonlinear Anal., Real World Appl. 5, No. 1, 159-182 (2004). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35R35 76S05 35B50 PDFBibTeX XMLCite \textit{A. Bonnet} and \textit{R. Monneau}, Nonlinear Anal., Real World Appl. 5, No. 1, 159--182 (2004; Zbl 1075.35114) Full Text: DOI
Bizhanova, G. I. On exact solutions of one-dimensional diffusion problems with free boundaries for parabolic equations. (Russian, English) Zbl 1082.35164 Zap. Nauchn. Semin. POMI 318, 42-59 (2004); translation in J. Math. Sci., New York 136, No. 2, 3672-3681 (2006). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35R35 35K20 80A22 PDFBibTeX XMLCite \textit{G. I. Bizhanova}, Zap. Nauchn. Semin. POMI 318, 42--59 (2004; Zbl 1082.35164); translation in J. Math. Sci., New York 136, No. 2, 3672--3681 (2006) Full Text: EuDML
Baconneau, Olivier; van den Berg, Jan Bouwe; Brauner, Claude-Michel; Hulshof, Josephuu Multiplicity and stability of travelling wave solutions in a free boundary combustion-radiation problem. (English) Zbl 1072.35202 Eur. J. Appl. Math. 15, No. 1, 79-102 (2004). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35R35 80A25 PDFBibTeX XMLCite \textit{O. Baconneau} et al., Eur. J. Appl. Math. 15, No. 1, 79--102 (2004; Zbl 1072.35202) Full Text: DOI
Hilhorst, D.; Issard-Roch, F.; Roquejoffre, J. M. Large time behavior of the solutions to a one-dimensional Stefan problem with a kinetic condition at the free boundary. (English) Zbl 1072.35205 Eur. J. Appl. Math. 15, No. 3, 297-313 (2004). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35R35 80A22 PDFBibTeX XMLCite \textit{D. Hilhorst} et al., Eur. J. Appl. Math. 15, No. 3, 297--313 (2004; Zbl 1072.35205) Full Text: DOI
Lunardi, Alessandra An introduction to parabolic moving boundary problems. (English) Zbl 1082.35169 Iannelli, Mimmo (ed.) et al., Functional analytic methods for evolution equations. Based on lectures given at the autumn school on evolution equations and semigroups, Levico Terme, Trento, Italy, October 28–November 2, 2001. Berlin: Springer (ISBN 3-540-23030-0/pbk). Lecture Notes in Mathematics 1855, 371-399 (2004). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35R35 35B65 80A25 PDFBibTeX XMLCite \textit{A. Lunardi}, Lect. Notes Math. 1855, 371--399 (2004; Zbl 1082.35169)
Huang, Feimin; Matsumura, Akitaka; Shi, Xiaoding Viscous shock wave to a gas-solid free boundary problem for compressible gas. (English) Zbl 1083.35113 SIAM J. Math. Anal. 36, No. 2, 498-522 (2004). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35Q35 35L65 35R35 76N15 PDFBibTeX XMLCite \textit{F. Huang} et al., SIAM J. Math. Anal. 36, No. 2, 498--522 (2004; Zbl 1083.35113) Full Text: DOI
Matthews, John V.; Schaeffer, David G. A well-posed free boundary value problem for a hyperbolic equation with Dirichlet boundary conditions. (English) Zbl 1082.35170 SIAM J. Math. Anal. 36, No. 1, 256-271 (2004). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35R35 35L20 76T25 PDFBibTeX XMLCite \textit{J. V. Matthews} and \textit{D. G. Schaeffer}, SIAM J. Math. Anal. 36, No. 1, 256--271 (2004; Zbl 1082.35170) Full Text: DOI
Fernández Bonder, J.; Wolanski, N. Uniqueness of limit solutions to a free boundary problem from combustion. (English) Zbl 1083.35039 SIAM J. Math. Anal. 36, No. 1, 172-185 (2004). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35K05 35K60 80A25 PDFBibTeX XMLCite \textit{J. Fernández Bonder} and \textit{N. Wolanski}, SIAM J. Math. Anal. 36, No. 1, 172--185 (2004; Zbl 1083.35039) Full Text: DOI
Fukao, Takesi Weak solutions for Stefan problems with convection in non-cylindrical domains. (English) Zbl 1082.35167 Kenmochi, N. (ed.) et al., Proceedings of the international conference on nonlinear partial differential equations and their applications, Shanghai, China, November 23–27, 2003. Tokyo: Gakkōtosho (ISBN 4-7625-0429-7/hbk). GAKUTO International Series. Mathematical Sciences and Applications 20, 28-47 (2004). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35R35 35Q30 35D05 76D05 PDFBibTeX XMLCite \textit{T. Fukao}, GAKUTO Int. Ser., Math. Sci. Appl. 20, 28--47 (2004; Zbl 1082.35167)
Blank, Ivan Eliminating mixed asymptotics in obstacle type free boundary problems. (English) Zbl 1082.35165 Commun. Partial Differ. Equations 29, No. 7-8, 1167-1186 (2004). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35R35 35Q72 74A40 PDFBibTeX XMLCite \textit{I. Blank}, Commun. Partial Differ. Equations 29, No. 7--8, 1167--1186 (2004; Zbl 1082.35165) Full Text: DOI
Alikakos, Nicholas D.; Fusco, Giorgio; Karali, Georgia Ostwald ripening in two dimensions – the rigorous derivation of the equations from the Mullins-Sekerka dynamics. (English) Zbl 1076.35136 J. Differ. Equations 205, No. 1, 1-49 (2004). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35R35 82C26 80A22 PDFBibTeX XMLCite \textit{N. D. Alikakos} et al., J. Differ. Equations 205, No. 1, 1--49 (2004; Zbl 1076.35136) Full Text: DOI
Cho, Jeonggil; Ko, Youngsang Regularity of the interface of the parabolic \(p\)-Laplacian equation. (English) Zbl 1052.35086 Far East J. Appl. Math. 15, No. 1, 21-45 (2004). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35K55 35R35 35B65 35K65 PDFBibTeX XMLCite \textit{J. Cho} and \textit{Y. Ko}, Far East J. Appl. Math. 15, No. 1, 21--45 (2004; Zbl 1052.35086)
Matevosyan, Norayr; Markowich, Peter A. Behavior of the free boundary near contact points with the fixed boundary for nonlinear elliptic equations. (English) Zbl 1064.35215 Monatsh. Math. 142, No. 1-2, 17-25 (2004). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35R35 35J65 35B65 PDFBibTeX XMLCite \textit{N. Matevosyan} and \textit{P. A. Markowich}, Monatsh. Math. 142, No. 1--2, 17--25 (2004; Zbl 1064.35215) Full Text: DOI arXiv
Xu, Yongzhi A free boundary problem model of ductal carcinoma in situ. (English) Zbl 1050.35158 Discrete Contin. Dyn. Syst., Ser. B 4, No. 1, 337-348 (2004). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35R35 92B05 PDFBibTeX XMLCite \textit{Y. Xu}, Discrete Contin. Dyn. Syst., Ser. B 4, No. 1, 337--348 (2004; Zbl 1050.35158) Full Text: DOI
Taranets, R. M. Propagation of perturbations in thin capillary film equations with nonlinear absorption. (Russian) Zbl 1114.35329 Tr. Inst. Prikl. Mat. Mekh. 8, 181-194 (2003). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35K65 35K35 35Q35 35G25 35B45 PDFBibTeX XMLCite \textit{R. M. Taranets}, Tr. Inst. Prikl. Mat. Mekh. 8, 181--194 (2003; Zbl 1114.35329)
Skrypnik, I. V.; Zhuravskaya, A. V. An uniform approximation of solutions of nonlinear parabolic problems in perforated domains. (Russian) Zbl 1114.35305 Tr. Inst. Prikl. Mat. Mekh. 8, 142-146 (2003). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35B27 35K60 PDFBibTeX XMLCite \textit{I. V. Skrypnik} and \textit{A. V. Zhuravskaya}, Tr. Inst. Prikl. Mat. Mekh. 8, 142--146 (2003; Zbl 1114.35305)
Skrypnik, I. I. Necessary condition of regularity of boundary point for degenerate parabolic equations with measurable coefficients. (Russian) Zbl 1114.35309 Tr. Inst. Prikl. Mat. Mekh. 8, 147-167 (2003). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35B65 35K60 PDFBibTeX XMLCite \textit{I. I. Skrypnik}, Tr. Inst. Prikl. Mat. Mekh. 8, 147--167 (2003; Zbl 1114.35309)