Rupp, Fabian The Willmore flow with prescribed isoperimetric ratio. (English) Zbl 07808351 Commun. Partial Differ. Equations 49, No. 1-2, 148-184 (2024). Reviewer: Alain Brillard (Riedisheim) MSC: 53E40 35B40 35K41 PDFBibTeX XMLCite \textit{F. Rupp}, Commun. Partial Differ. Equations 49, No. 1--2, 148--184 (2024; Zbl 07808351) Full Text: DOI arXiv OA License
Schlierf, Manuel On the convergence of the Willmore flow with Dirichlet boundary conditions. (English) Zbl 07804829 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 241, Article ID 113475, 29 p. (2024). MSC: 53E40 35B40 35K41 PDFBibTeX XMLCite \textit{M. Schlierf}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 241, Article ID 113475, 29 p. (2024; Zbl 07804829) Full Text: DOI arXiv
Abels, Helmut; Garcke, Harald; Haselböck, Jonas Existence of Weak Solutions to a Cahn-Hilliard-Biot System. arXiv:2403.07515 Preprint, arXiv:2403.07515 [math.AP] (2024). MSC: 35A01 35D30 35K41 74B10 BibTeX Cite \textit{H. Abels} et al., ``Existence of Weak Solutions to a Cahn-Hilliard-Biot System'', Preprint, arXiv:2403.07515 [math.AP] (2024) Full Text: arXiv OA License
Schlierf, Manuel Global existence for the Willmore flow with boundary via Simon’s Li-Yau inequality. arXiv:2402.07755 Preprint, arXiv:2402.07755 [math.AP] (2024). MSC: 53E40 49Q10 35B40 35K41 35J35 BibTeX Cite \textit{M. Schlierf}, ``Global existence for the Willmore flow with boundary via Simon's Li-Yau inequality'', Preprint, arXiv:2402.07755 [math.AP] (2024) Full Text: arXiv OA License
Oner, Isil The null boundary controllability for a fourth-order parabolic equation with Samarskii-Lonkin-type boundary conditions. (English) Zbl 07792665 Mediterr. J. Math. 20, No. 6, Paper No. 323, 16 p. (2023). Reviewer: Michela Egidi (Rostock) MSC: 93B05 93C20 35K41 44A60 35P10 34B10 PDFBibTeX XMLCite \textit{I. Oner}, Mediterr. J. Math. 20, No. 6, Paper No. 323, 16 p. (2023; Zbl 07792665) Full Text: DOI
Hernández-Santamaría, Víctor; Mercado, Alberto; Visconti, Piero Boundary controllability of a simplified stabilized Kuramoto-Sivashinsky system. (English) Zbl 07783689 Acta Appl. Math. 188, Paper No. 17, 21 p. (2023). MSC: 93B05 93C20 35K41 93C10 PDFBibTeX XMLCite \textit{V. Hernández-Santamaría} et al., Acta Appl. Math. 188, Paper No. 17, 21 p. (2023; Zbl 07783689) Full Text: DOI
Auscher, Pascal; Egert, Moritz A universal variational framework for parabolic equations and systems. (English) Zbl 1526.35227 Calc. Var. Partial Differ. Equ. 62, No. 9, Paper No. 249, 59 p. (2023). MSC: 35K90 35A08 35K40 35K41 35K51 26A33 PDFBibTeX XMLCite \textit{P. Auscher} and \textit{M. Egert}, Calc. Var. Partial Differ. Equ. 62, No. 9, Paper No. 249, 59 p. (2023; Zbl 1526.35227) Full Text: DOI arXiv OA License
Avery, Montie; Holzer, Matt; Scheel, Arnd Pushed-to-pulled front transitions: continuation, speed scalings, and hidden monotonicty. (English) Zbl 1526.35037 J. Nonlinear Sci. 33, No. 6, Paper No. 102, 41 p. (2023). MSC: 35B32 35B35 35K41 35K57 PDFBibTeX XMLCite \textit{M. Avery} et al., J. Nonlinear Sci. 33, No. 6, Paper No. 102, 41 p. (2023; Zbl 1526.35037) Full Text: DOI arXiv
Rodrigues, Sérgio S.; Seifu, Dagmawi A. Feedback semiglobal stabilization to trajectories for the Kuramoto-Sivashinsky equation. (English) Zbl 1511.93106 IMA J. Math. Control Inf. 40, No. 1, 38-80 (2023). MSC: 93D15 93D23 93C20 35K58 35K41 PDFBibTeX XMLCite \textit{S. S. Rodrigues} and \textit{D. A. Seifu}, IMA J. Math. Control Inf. 40, No. 1, 38--80 (2023; Zbl 1511.93106) Full Text: DOI arXiv
Bokalo, Mykola; Bokalo, Taras Correctness of the Fourier problem for nonlinear parabolic systems in unbounded in all variables domains without conditions at infinity. (Ukrainian. English summary) Zbl 07799368 Visn. L’viv. Univ., Ser. Mekh.-Mat. 94, 109-145 (2022). MSC: 35D30 35G50 35G60 35K41 45K05 PDFBibTeX XMLCite \textit{M. Bokalo} and \textit{T. Bokalo}, Visn. L'viv. Univ., Ser. Mekh.-Mat. 94, 109--145 (2022; Zbl 07799368) Full Text: DOI
The Quan Bui; Xuan Truong Le Global weighted regularity estimates for higher-order elliptic and parabolic systems. (English) Zbl 07780966 Math. Methods Appl. Sci. 45, No. 9, 4956-4973 (2022). Reviewer: Maria Alessandra Ragusa (Catania) MSC: 35B45 35B65 35D30 35J48 35K41 PDFBibTeX XMLCite \textit{The Quan Bui} and \textit{Xuan Truong Le}, Math. Methods Appl. Sci. 45, No. 9, 4956--4973 (2022; Zbl 07780966) Full Text: DOI
Mourad, Ayman; Taha, Zahraa Existence of solution to a Cahn-Hilliard equation. (English) Zbl 1503.35240 Asymptotic Anal. 130, No. 3-4, 387-408 (2022). MSC: 35Q92 92C37 35K41 35B44 35A01 65N30 65H10 92-08 PDFBibTeX XMLCite \textit{A. Mourad} and \textit{Z. Taha}, Asymptotic Anal. 130, No. 3--4, 387--408 (2022; Zbl 1503.35240) Full Text: DOI
Brunk, Aaron; Lukáčová-Medvid’ová, Mária Global existence of weak solutions to viscoelastic phase separation. II: Degenerate case. (English) Zbl 1492.35097 Nonlinearity 35, No. 7, 3459-3486 (2022). MSC: 35D30 35G50 35K41 35K65 35Q35 35Q70 76A05 76A10 PDFBibTeX XMLCite \textit{A. Brunk} and \textit{M. Lukáčová-Medvid'ová}, Nonlinearity 35, No. 7, 3459--3486 (2022; Zbl 1492.35097) Full Text: DOI arXiv
Meng, Qing; Niu, Weisheng Convergence rate in periodic homogenization of higher-order parabolic systems revisited. (English) Zbl 07547232 Differ. Integral Equ. 35, No. 9-10, 531-557 (2022). Reviewer: Adrian Muntean (Karlstad) MSC: 35B27 35K41 PDFBibTeX XMLCite \textit{Q. Meng} and \textit{W. Niu}, Differ. Integral Equ. 35, No. 9--10, 531--557 (2022; Zbl 07547232)
Palmurella, Francesco; Rivière, Tristan The parametric approach to the Willmore flow. (English) Zbl 1503.53168 Adv. Math. 400, Article ID 108257, 48 p. (2022). Reviewer: Marek Galewski (Łódź) MSC: 53E10 53A05 58E15 35J35 35J48 35K41 35K91 53D50 PDFBibTeX XMLCite \textit{F. Palmurella} and \textit{T. Rivière}, Adv. Math. 400, Article ID 108257, 48 p. (2022; Zbl 1503.53168) Full Text: DOI arXiv
Yangari, Miguel Monotone systems involving variable-order nonlocal operators. (English) Zbl 1483.49040 Publ. Mat., Barc. 66, No. 1, 129-158 (2022). Reviewer: Savin Treanta (Bucureşti) MSC: 49L25 35K41 47G20 35D40 PDFBibTeX XMLCite \textit{M. Yangari}, Publ. Mat., Barc. 66, No. 1, 129--158 (2022; Zbl 1483.49040) Full Text: DOI
Liu, Zhengguang; Li, Xiaoli Step-by-step solving schemes based on scalar auxiliary variable and invariant energy quadratization approaches for gradient flows. (English) Zbl 1481.65195 Numer. Algorithms 89, No. 1, 65-86 (2022). MSC: 65M70 65M06 65N35 65M12 35K20 35K35 35K55 35K41 65Z05 PDFBibTeX XMLCite \textit{Z. Liu} and \textit{X. Li}, Numer. Algorithms 89, No. 1, 65--86 (2022; Zbl 1481.65195) Full Text: DOI arXiv
Kesler, Ian; Lan, Rihui; Sun, Pengtao The arbitrary Lagrangian-Eulerian finite element method for a transient Stokes/parabolic interface problem. (English) Zbl 1499.65500 Int. J. Numer. Anal. Model. 18, No. 3, 339-361 (2021). MSC: 65M60 65M12 65M15 65M22 65M06 65N30 76D07 74F10 35K41 PDFBibTeX XMLCite \textit{I. Kesler} et al., Int. J. Numer. Anal. Model. 18, No. 3, 339--361 (2021; Zbl 1499.65500) Full Text: Link
Chen, Zhenjie; Fu, Qin; Yu, Pengfei; Zhang, Dan Coordinated control for a class of fourth order parabolic partial differential multi-agent systems. (Chinese. English summary) Zbl 1488.93094 J. Syst. Sci. Math. Sci. 41, No. 4, 898-912 (2021). MSC: 93C20 93A16 35K41 93B52 PDFBibTeX XMLCite \textit{Z. Chen} et al., J. Syst. Sci. Math. Sci. 41, No. 4, 898--912 (2021; Zbl 1488.93094)
Castillo, Paul; Gómez, Sergio A unified framework of high order structure-preserving B-splines Galerkin methods for coupled nonlinear Schrödinger systems. (English) Zbl 1524.65518 Comput. Math. Appl. 102, 45-53 (2021). MSC: 65M60 35Q55 65M70 65D07 65N35 35K41 65M15 65M06 65N30 PDFBibTeX XMLCite \textit{P. Castillo} and \textit{S. Gómez}, Comput. Math. Appl. 102, 45--53 (2021; Zbl 1524.65518) Full Text: DOI
Hu, Huanhuan; Li, Yang; Jia, Hong’en Large time stepping method for the modified Cahn-Hilliard equation. (Chinese. English summary) Zbl 1474.65351 Chin. J. Eng. Math. 38, No. 1, 97-109 (2021). MSC: 65M60 65M06 65N30 65M12 65M15 35K41 35K55 PDFBibTeX XMLCite \textit{H. Hu} et al., Chin. J. Eng. Math. 38, No. 1, 97--109 (2021; Zbl 1474.65351)
Palagachev, Dian K.; Softova, Lubomira G. Generalized Morrey regularity of \(2 b\)-parabolic systems. (English) Zbl 1453.35037 Appl. Math. Lett. 112, Article ID 106838, 6 p. (2021). MSC: 35B65 35K41 35R05 35B45 35D35 PDFBibTeX XMLCite \textit{D. K. Palagachev} and \textit{L. G. Softova}, Appl. Math. Lett. 112, Article ID 106838, 6 p. (2021; Zbl 1453.35037) Full Text: DOI
Qin, Dandan; Tang, Xinxin; Huang, Wenzhu B-spline finite element method for fourth order parabolic equations with variable coefficient. (Chinese. English summary) Zbl 1474.65362 J. Jilin Univ., Sci. 58, No. 5, 1100-1106 (2020). MSC: 65M60 65D07 65M06 65N30 35K41 PDFBibTeX XMLCite \textit{D. Qin} et al., J. Jilin Univ., Sci. 58, No. 5, 1100--1106 (2020; Zbl 1474.65362) Full Text: DOI
Xue, Yingzhen Global existence and blow-up for a porous media system with nonlocal boundary conditions. (Chinese. English summary) Zbl 1463.35005 Math. Pract. Theory 50, No. 4, 176-184 (2020). MSC: 35A01 35B44 35K41 PDFBibTeX XMLCite \textit{Y. Xue}, Math. Pract. Theory 50, No. 4, 176--184 (2020; Zbl 1463.35005)
Kaur, Deepti; Mohanty, R. K. Highly accurate compact difference scheme for fourth order parabolic equation with Dirichlet and Neumann boundary conditions: application to good Boussinesq equation. (English) Zbl 1474.65279 Appl. Math. Comput. 378, Article ID 125202, 16 p. (2020). MSC: 65M06 65M12 65M22 35K41 35C08 65F05 76B25 35Q35 PDFBibTeX XMLCite \textit{D. Kaur} and \textit{R. K. Mohanty}, Appl. Math. Comput. 378, Article ID 125202, 16 p. (2020; Zbl 1474.65279) Full Text: DOI
Richters-Finger, Steffen; Hartmann, Simon; Linz, Stefan J. Transition to chaos: from small to large systems in the Nikolaevskiy model. (English) Zbl 1432.35116 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 1, Article ID 2030002, 10 p. (2020). MSC: 35K41 35B36 35B41 PDFBibTeX XMLCite \textit{S. Richters-Finger} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 1, Article ID 2030002, 10 p. (2020; Zbl 1432.35116) Full Text: DOI
Dong, Hongjie; Kim, Doyoon \(L_p\)-estimates for time fractional parabolic equations in divergence form with measurable coefficients. (English) Zbl 1427.35316 J. Funct. Anal. 278, No. 3, Article ID 108338, 66 p. (2020). Reviewer: Mohammed Kaabar (Gelugor) MSC: 35R11 35K35 35K41 35K10 35B65 PDFBibTeX XMLCite \textit{H. Dong} and \textit{D. Kim}, J. Funct. Anal. 278, No. 3, Article ID 108338, 66 p. (2020; Zbl 1427.35316) Full Text: DOI arXiv
Peng, Qiujin; Li, Hongwei; Xu, Zuoliang Energy stable linear schemes for mass-conserved gradient flows with Peng-Robinson equation of state. (English) Zbl 1468.65106 East Asian J. Appl. Math. 9, No. 1, 212-232 (2019). MSC: 65M06 65M12 76S05 76T10 35K41 PDFBibTeX XMLCite \textit{Q. Peng} et al., East Asian J. Appl. Math. 9, No. 1, 212--232 (2019; Zbl 1468.65106) Full Text: DOI
Dall’Acqua, Anna; Lin, Chun-Chi; Pozzi, Paola Elastic flow of networks: long-time existence result. (English) Zbl 1442.53072 Geom. Flows 4, 83-136 (2019). MSC: 53E99 35K41 35K52 35K61 PDFBibTeX XMLCite \textit{A. Dall'Acqua} et al., Geom. Flows 4, 83--136 (2019; Zbl 1442.53072) Full Text: DOI arXiv
Litovchenko, V. A. Fundamental solution of the Cauchy problem for \(\left\{\overrightarrow{p},\overrightarrow{h}\right\} \)-parabolic systems with variable coefficients. (English. Ukrainian original) Zbl 1429.35112 J. Math. Sci., New York 243, No. 2, 230-239 (2019); translation from Neliniĭni Kolyvannya 21, No. 2, 189-196 (2018). MSC: 35K30 35K65 35K41 PDFBibTeX XMLCite \textit{V. A. Litovchenko}, J. Math. Sci., New York 243, No. 2, 230--239 (2019; Zbl 1429.35112); translation from Neliniĭni Kolyvannya 21, No. 2, 189--196 (2018) Full Text: DOI
Liu, Chen; Frank, Florian; Rivière, Béatrice M. Numerical error analysis for nonsymmetric interior penalty discontinuous Galerkin method of Cahn-Hilliard equation. (English) Zbl 1418.65134 Numer. Methods Partial Differ. Equations 35, No. 4, 1509-1537 (2019). MSC: 65M60 65M06 65M12 65M15 35K41 35K55 35Q35 47H10 PDFBibTeX XMLCite \textit{C. Liu} et al., Numer. Methods Partial Differ. Equations 35, No. 4, 1509--1537 (2019; Zbl 1418.65134) Full Text: DOI
Bhandari, Chandi; Hoppe, Ronald H. W.; Kumar, Rahul A \(\mathrm{C}^0\) interior penalty discontinuous Galerkin method for fourth-order total variation flow. II: Existence and uniqueness. (English) Zbl 1416.65337 Numer. Methods Partial Differ. Equations 35, No. 4, 1477-1496 (2019). MSC: 65M60 35A01 35A02 47N40 35K41 49K20 PDFBibTeX XMLCite \textit{C. Bhandari} et al., Numer. Methods Partial Differ. Equations 35, No. 4, 1477--1496 (2019; Zbl 1416.65337) Full Text: DOI
Bhandari, Chandi; Hoppe, Ronald H. W.; Kumar, Rahul A \(\mathrm{C}^0\) interior penalty discontinuous Galerkin method for fourth-order total variation flow. I: Derivation of the method and numerical results. (English) Zbl 1416.65336 Numer. Methods Partial Differ. Equations 35, No. 4, 1458-1476 (2019). MSC: 65M60 65M06 35K41 65N30 49K20 PDFBibTeX XMLCite \textit{C. Bhandari} et al., Numer. Methods Partial Differ. Equations 35, No. 4, 1458--1476 (2019; Zbl 1416.65336) Full Text: DOI
Garcke, Harald; Menzel, Julia; Pluda, Alessandra Willmore flow of planar networks. (English) Zbl 1436.35233 J. Differ. Equations 266, No. 4, 2019-2051 (2019). Reviewer: John Urbas (Canberra) MSC: 35K52 53E40 35K61 35K41 35Q74 PDFBibTeX XMLCite \textit{H. Garcke} et al., J. Differ. Equations 266, No. 4, 2019--2051 (2019; Zbl 1436.35233) Full Text: DOI arXiv
Choi, Jongkeun; Kim, Doyoon Weighted \(L_{p,q}\)-estimates for higher order elliptic and parabolic systems with \(\mathrm{BMO}_x\) coefficients on Reifenberg flat domains. (English) Zbl 1418.35049 Calc. Var. Partial Differ. Equ. 58, No. 3, Paper No. 90, 29 p. (2019). Reviewer: Dian K. Palagachev (Bari) MSC: 35B45 35J48 35K41 35R05 PDFBibTeX XMLCite \textit{J. Choi} and \textit{D. Kim}, Calc. Var. Partial Differ. Equ. 58, No. 3, Paper No. 90, 29 p. (2019; Zbl 1418.35049) Full Text: DOI arXiv
Carreño, N.; Santos, M. C. Stackelberg-Nash exact controllability for the Kuramoto-Sivashinsky equation. (English) Zbl 1411.35143 J. Differ. Equations 266, No. 9, 6068-6108 (2019). Reviewer: Vyacheslav I. Maksimov (Ekaterinburg) MSC: 35K35 93B05 35K41 35K58 91A65 93A13 93C20 35K55 PDFBibTeX XMLCite \textit{N. Carreño} and \textit{M. C. Santos}, J. Differ. Equations 266, No. 9, 6068--6108 (2019; Zbl 1411.35143) Full Text: DOI
Makrides, Elizabeth; Sandstede, Björn Existence and stability of spatially localized patterns. (English) Zbl 1405.35076 J. Differ. Equations 266, No. 2-3, 1073-1120 (2019). Reviewer: Vyacheslav I. Maksimov (Ekaterinburg) MSC: 35K41 PDFBibTeX XMLCite \textit{E. Makrides} and \textit{B. Sandstede}, J. Differ. Equations 266, No. 2--3, 1073--1120 (2019; Zbl 1405.35076) Full Text: DOI
Dvornyk, A. V.; Struk, O. O.; Tkachenko, V. I. Almost periodic solutions of Lotka-Volterra systems with diffusion and pulsed action. (English. Ukrainian original) Zbl 1427.35103 Ukr. Math. J. 70, No. 2, 197-216 (2018); translation from Ukr. Mat. Zh. 70, No. 2, 177-192 (2018). MSC: 35K41 35B15 35B30 35K58 PDFBibTeX XMLCite \textit{A. V. Dvornyk} et al., Ukr. Math. J. 70, No. 2, 197--216 (2018; Zbl 1427.35103); translation from Ukr. Mat. Zh. 70, No. 2, 177--192 (2018) Full Text: DOI
Dong, Hongjie; Kim, Doyoon On \(L_p\)-estimates for elliptic and parabolic equations with \(A_p\) weights. (English) Zbl 1427.35305 Trans. Am. Math. Soc. 370, No. 7, 5081-5130 (2018). Reviewer: Raymond Johnson (Columbia) MSC: 35R05 42B37 35B45 35K25 35J48 35K41 43A85 PDFBibTeX XMLCite \textit{H. Dong} and \textit{D. Kim}, Trans. Am. Math. Soc. 370, No. 7, 5081--5130 (2018; Zbl 1427.35305) Full Text: DOI arXiv
Yang, Jiaopeng; Li, Zongguang; Liu, Zhengrong The existence and bifurcation of peakon and anti-peakon to the \(n\)-degree \(b\)-equations. (English) Zbl 1388.34043 Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 1, Article ID 1850014, 17 p. (2018). MSC: 34C37 34C07 35K41 34C23 PDFBibTeX XMLCite \textit{J. Yang} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 1, Article ID 1850014, 17 p. (2018; Zbl 1388.34043) Full Text: DOI
Liu, Aibo; Liu, Changchun Asymptotic dynamics of a new mechanochemical model in biological patterns. (English) Zbl 1488.35099 Math. Model. Anal. 22, No. 2, 252-269 (2017). MSC: 35B41 35K41 92C15 PDFBibTeX XMLCite \textit{A. Liu} and \textit{C. Liu}, Math. Model. Anal. 22, No. 2, 252--269 (2017; Zbl 1488.35099) Full Text: DOI
Mohanty, Ranjan Kumar; Kaur, Deepti High accuracy compact operator methods for two-dimensional fourth order nonlinear parabolic partial differential equations. (English) Zbl 1434.65127 Comput. Methods Appl. Math. 17, No. 4, 617-641 (2017). MSC: 65M06 65M12 65M22 65K10 35K41 35Q53 35Q92 35Q35 PDFBibTeX XMLCite \textit{R. K. Mohanty} and \textit{D. Kaur}, Comput. Methods Appl. Math. 17, No. 4, 617--641 (2017; Zbl 1434.65127) Full Text: DOI
DiPietro, Kelsey L.; Lindsay, Alan E. Monge-Ampére simulation of fourth order PDEs in two dimensions with application to elastic-electrostatic contact problems. (English) Zbl 1380.65152 J. Comput. Phys. 349, 328-350 (2017). MSC: 65M06 35K41 35Q60 35B44 PDFBibTeX XMLCite \textit{K. L. DiPietro} and \textit{A. E. Lindsay}, J. Comput. Phys. 349, 328--350 (2017; Zbl 1380.65152) Full Text: DOI
Bruell, Gabriele Weak solutions to a two-phase thin film model with insoluble surfactant driven by capillary effects. (English) Zbl 1384.35080 J. Evol. Equ. 17, No. 4, 1341-1379 (2017). MSC: 35Q35 35D30 35K41 35K65 76A20 76D45 76R10 PDFBibTeX XMLCite \textit{G. Bruell}, J. Evol. Equ. 17, No. 4, 1341--1379 (2017; Zbl 1384.35080) Full Text: DOI arXiv
Aberqi, A.; Bennouna, J.; Hammoumi, M. Existence result for nonlinear degenerated parabolic systems. (English) Zbl 1377.35132 Nonlinear Dyn. Syst. Theory 17, No. 3, 217-229 (2017). MSC: 35K41 35K55 35K65 PDFBibTeX XMLCite \textit{A. Aberqi} et al., Nonlinear Dyn. Syst. Theory 17, No. 3, 217--229 (2017; Zbl 1377.35132)
Xue, Yingzhen Asymptotic behavior of parabolic equations with cross coupled terms. (Chinese. English summary) Zbl 1389.35083 Basic Sci. J. Text. Univ. 30, No. 1, 42-47, 55 (2017). MSC: 35B40 35B44 35K41 PDFBibTeX XMLCite \textit{Y. Xue}, Basic Sci. J. Text. Univ. 30, No. 1, 42--47, 55 (2017; Zbl 1389.35083) Full Text: DOI
Litovchenko, V. A.; Unguryan, G. M. Parabolic systems of Shilov-type with coefficients of bounded smoothness and nonnegative genus. (English) Zbl 1516.35009 Carpathian Math. Publ. 9, No. 1, 72-85 (2017). MSC: 35A08 35K41 PDFBibTeX XMLCite \textit{V. A. Litovchenko} and \textit{G. M. Unguryan}, Carpathian Math. Publ. 9, No. 1, 72--85 (2017; Zbl 1516.35009) Full Text: DOI
Saanouni, Tarek Global well-posedness and finite-time blow-up of some heat-type equations. (English) Zbl 1367.35174 Proc. Edinb. Math. Soc., II. Ser. 60, No. 2, 481-497 (2017). MSC: 35Q79 35K41 35B45 35B44 80A20 PDFBibTeX XMLCite \textit{T. Saanouni}, Proc. Edinb. Math. Soc., II. Ser. 60, No. 2, 481--497 (2017; Zbl 1367.35174) Full Text: DOI
Valero, José; Schmalfuß, Björn; Garrido-Atienza, María J.; Caraballo, Tomás Attractors for a random evolution equation with infinite memory: theoretical results. (English) Zbl 1359.60080 Discrete Contin. Dyn. Syst., Ser. B 22, No. 5, 1779-1800 (2017). MSC: 60H15 60H25 35K40 35K41 35K55 PDFBibTeX XMLCite \textit{J. Valero} et al., Discrete Contin. Dyn. Syst., Ser. B 22, No. 5, 1779--1800 (2017; Zbl 1359.60080) Full Text: DOI
Lissy, Pierre Construction of Gevrey functions with compact support using the Bray-Mandelbrojt iterative process and applications to the moment method in control theory. (English) Zbl 1360.93101 Math. Control Relat. Fields 7, No. 1, 21-40 (2017). MSC: 93B05 35K05 35K41 37L50 42A70 PDFBibTeX XMLCite \textit{P. Lissy}, Math. Control Relat. Fields 7, No. 1, 21--40 (2017; Zbl 1360.93101) Full Text: DOI
Pyatkov, S. G. On some classes of inverse problems with overdetermination data on spatial manifolds. (English. Russian original) Zbl 1364.35438 Sib. Math. J. 57, No. 5, 870-880 (2016); translation from Sib. Mat. Zh. 57, No. 5, 1114-1126 (2016). MSC: 35R30 35K41 PDFBibTeX XMLCite \textit{S. G. Pyatkov}, Sib. Math. J. 57, No. 5, 870--880 (2016; Zbl 1364.35438); translation from Sib. Mat. Zh. 57, No. 5, 1114--1126 (2016) Full Text: DOI
Deng, Shengfu Periodic solutions and homoclinic solutions for a Swift-Hohenberg equation with dispersion. (English) Zbl 1355.34067 Discrete Contin. Dyn. Syst., Ser. S 9, No. 6, 1647-1662 (2016). MSC: 34C23 34C25 35B32 35K41 35C07 34C37 PDFBibTeX XMLCite \textit{S. Deng}, Discrete Contin. Dyn. Syst., Ser. S 9, No. 6, 1647--1662 (2016; Zbl 1355.34067) Full Text: DOI
Chen, Yiren; Liu, Zhengrong The bifurcations of solitary and kink waves described by the Gardner equation. (English) Zbl 1355.34066 Discrete Contin. Dyn. Syst., Ser. S 9, No. 6, 1629-1645 (2016). MSC: 34C23 35C07 34C25 34C37 34A05 35K41 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{Z. Liu}, Discrete Contin. Dyn. Syst., Ser. S 9, No. 6, 1629--1645 (2016; Zbl 1355.34066) Full Text: DOI
Amato, Roberto On the fractional differentiability of the spatial derivatives of weak solutions to nonlinear parabolic systems of higher order. (English) Zbl 1389.35305 Czech. Math. J. 66, No. 2, 293-305 (2016). MSC: 35R11 35K41 PDFBibTeX XMLCite \textit{R. Amato}, Czech. Math. J. 66, No. 2, 293--305 (2016; Zbl 1389.35305) Full Text: DOI Link
Gal, C. G.; Grasselli, Maurizio; Miranville, Alain Cahn-Hilliard-Navier-Stokes systems with moving contact lines. (English) Zbl 1372.35140 Calc. Var. Partial Differ. Equ. 55, No. 3, Paper No. 50, 47 p. (2016). MSC: 35K55 35Q35 76D05 35K41 PDFBibTeX XMLCite \textit{C. G. Gal} et al., Calc. Var. Partial Differ. Equ. 55, No. 3, Paper No. 50, 47 p. (2016; Zbl 1372.35140) Full Text: DOI
Guo, Jong-Shenq; Wang, Yi; Wu, Chang-Hong; Wu, Chin-Chin The minimal speed of traveling wave solutions for a diffusive three species competition system. (English) Zbl 1357.92062 Taiwanese J. Math. 19, No. 6, 1805-1829 (2015). MSC: 92D25 35C07 35K41 35Q92 PDFBibTeX XMLCite \textit{J.-S. Guo} et al., Taiwanese J. Math. 19, No. 6, 1805--1829 (2015; Zbl 1357.92062) Full Text: DOI
Wei, Li; Liu, Yuanxing Existence of the solution to parabolic systems involving the generalized \((p, q)\)-Laplacian operator. (Chinese. English summary) Zbl 1349.35160 J. Syst. Sci. Math. Sci. 35, No. 9, 1092-1103 (2015). MSC: 35K41 PDFBibTeX XMLCite \textit{L. Wei} and \textit{Y. Liu}, J. Syst. Sci. Math. Sci. 35, No. 9, 1092--1103 (2015; Zbl 1349.35160)
Della Porta, Francesco; Grasselli, Maurizio Convective nonlocal Cahn-Hilliard equations with reaction terms. (English) Zbl 1335.35096 Discrete Contin. Dyn. Syst., Ser. B 20, No. 5, 1529-1553 (2015). Reviewer: Hussein Fakih (Poitiers) MSC: 35K35 35B41 35K41 45K05 PDFBibTeX XMLCite \textit{F. Della Porta} and \textit{M. Grasselli}, Discrete Contin. Dyn. Syst., Ser. B 20, No. 5, 1529--1553 (2015; Zbl 1335.35096) Full Text: DOI arXiv
Morrissey, David; Scheel, Arnd Characterizing the effect of boundary conditions on striped phases. (English) Zbl 1330.35035 SIAM J. Appl. Dyn. Syst. 14, No. 3, 1387-1417 (2015). MSC: 35B36 34C37 37L10 35K41 35Q56 35B25 PDFBibTeX XMLCite \textit{D. Morrissey} and \textit{A. Scheel}, SIAM J. Appl. Dyn. Syst. 14, No. 3, 1387--1417 (2015; Zbl 1330.35035) Full Text: DOI arXiv
Knüpfer, Hans; Masmoudi, Nader Darcy’s flow with prescribed contact angle: well-posedness and lubrication approximation. (English) Zbl 1457.35039 Arch. Ration. Mech. Anal. 218, No. 2, 589-646 (2015). MSC: 35Q35 76S05 76D08 35R35 35K41 35K65 76A20 76D27 35A01 35A02 PDFBibTeX XMLCite \textit{H. Knüpfer} and \textit{N. Masmoudi}, Arch. Ration. Mech. Anal. 218, No. 2, 589--646 (2015; Zbl 1457.35039) Full Text: DOI arXiv
Zhao, Lei; Yin, Aijun High-order partial differential equation de-noising method for vibration signal. (English) Zbl 1310.35143 Math. Methods Appl. Sci. 38, No. 5, 937-947 (2015). MSC: 35K41 35Q99 60G35 94A12 65M06 PDFBibTeX XMLCite \textit{L. Zhao} and \textit{A. Yin}, Math. Methods Appl. Sci. 38, No. 5, 937--947 (2015; Zbl 1310.35143) Full Text: DOI
Alvarez-Caudevilla, Pablo; Galaktionov, Victor A. Branching analysis of a countable family of global similarity solutions of a fourth-order thin film equation. (English) Zbl 1433.35165 Electron. J. Differ. Equ. 2015, Paper No. 90, 29 p. (2015). MSC: 35K55 35B32 35G20 35K41 35K65 PDFBibTeX XMLCite \textit{P. Alvarez-Caudevilla} and \textit{V. A. Galaktionov}, Electron. J. Differ. Equ. 2015, Paper No. 90, 29 p. (2015; Zbl 1433.35165) Full Text: arXiv EMIS
Boccia, S.; Krylov, N. V. On the fundamental matrix solution for higher-order parabolic systems. (English) Zbl 1319.35075 Apushkinskaya, Darya (ed.) et al., Proceedings of the St. Petersburg Mathematical Society. Vol. XV. Advances in mathematical analysis of partial differential equations. Workshop dedicated to the 90th anniversary of the O. A. Ladyzhenskaya birthday, Stockholm, Sweden, July 9–13, 2012. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1551-8/hbk). Translations. Series 2. American Mathematical Society 232, 11-33 (2014). Reviewer: Lubomira Softova (Aversa) MSC: 35K41 35A08 PDFBibTeX XMLCite \textit{S. Boccia} and \textit{N. V. Krylov}, Transl., Ser. 2, Am. Math. Soc. 232, 11--33 (2014; Zbl 1319.35075)
Min, Li-Hua Liouville type theorem for higher order Hardy-Hénon system of inequalities. (English) Zbl 1307.35136 Math. Inequal. Appl. 17, No. 4, 1427-1439 (2014). MSC: 35K41 35B53 35B08 PDFBibTeX XMLCite \textit{L.-H. Min}, Math. Inequal. Appl. 17, No. 4, 1427--1439 (2014; Zbl 1307.35136) Full Text: DOI
Zhao, Xiufang; Duan, Ning Optimal control of the sixth-order convective Cahn-Hilliard equation. (English) Zbl 1304.35722 Bound. Value Probl. 2014, Paper No. 206, 17 p. (2014). MSC: 35Q93 35K41 35K55 49M20 PDFBibTeX XMLCite \textit{X. Zhao} and \textit{N. Duan}, Bound. Value Probl. 2014, Paper No. 206, 17 p. (2014; Zbl 1304.35722) Full Text: DOI
Litovchenko, V. A.; Vas’ko, O. B. Cauchy problem for degenerate parabolic systems of Kolmogorov type in weighted Lebesgue spaces. (Ukrainian. English summary) Zbl 1313.35139 Zb. Pr. Inst. Mat. NAN Ukr. 11, No. 2, 233-248 (2014). MSC: 35K15 35K41 35K70 PDFBibTeX XMLCite \textit{V. A. Litovchenko} and \textit{O. B. Vas'ko}, Zb. Pr. Inst. Mat. NAN Ukr. 11, No. 2, 233--248 (2014; Zbl 1313.35139)
Miranville, Alain Asymptotic behavior of the conserved Caginalp phase-field system based on the Maxwell-Cattaneo law. (English) Zbl 1304.35123 Commun. Pure Appl. Anal. 13, No. 5, 1971-1987 (2014). MSC: 35B41 35K55 35L15 35K41 PDFBibTeX XMLCite \textit{A. Miranville}, Commun. Pure Appl. Anal. 13, No. 5, 1971--1987 (2014; Zbl 1304.35123) Full Text: DOI
Heinemann, Christian; Kraus, Christiane Degenerating Cahn-Hilliard systems coupled with mechanical effects and complete damage processes. (English) Zbl 1340.35167 Math. Bohem. 139, No. 2, 315-331 (2014). MSC: 35K65 35K55 35J50 74A45 35K41 PDFBibTeX XMLCite \textit{C. Heinemann} and \textit{C. Kraus}, Math. Bohem. 139, No. 2, 315--331 (2014; Zbl 1340.35167) Full Text: Link
Apushkinskaya, Darya (ed.); Nazarov, Alexander I. (ed.) Proceedings of the St. Petersburg Mathematical Society. Vol. XV. Advances in mathematical analysis of partial differential equations. Workshop dedicated to the 90th anniversary of the O. A. Ladyzhenskaya birthday, Stockholm, Sweden, July 9–13, 2012. (English) Zbl 1296.35004 Translations. Series 2. American Mathematical Society 232. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1551-8/hbk). x, 270 p. (2014). MSC: 35-06 35B05 35B65 35J60 35K20 35K41 35Q35 00B25 00B30 PDFBibTeX XMLCite \textit{D. Apushkinskaya} (ed.) and \textit{A. I. Nazarov} (ed.), Proceedings of the St. Petersburg Mathematical Society. Vol. XV. Advances in mathematical analysis of partial differential equations. Workshop dedicated to the 90th anniversary of the O. A. Ladyzhenskaya birthday, Stockholm, Sweden, July 9--13, 2012. Providence, RI: American Mathematical Society (AMS) (2014; Zbl 1296.35004)
Zhu, Peicheng Spherically symmetric solutions to a model for interface motion by interface diffusion. (English) Zbl 1340.35114 Brandts, J. (ed.) et al., Proceedings of the international conference ‘Applications of mathematics’, Prague, Czech Republic, May 15–17, 2013. In honor of the 70th birthday of Karel Segeth. Prague: Academy of Sciences of the Czech Republic, Institute of Mathematics (ISBN 978-80-85823-61-5). 240-247 (2013). MSC: 35K46 35B07 82C24 82C26 35K41 PDFBibTeX XMLCite \textit{P. Zhu}, in: Proceedings of the international conference `Applications of mathematics', Prague, Czech Republic, May 15--17, 2013. In honor of the 70th birthday of Karel Segeth. Prague: Academy of Sciences of the Czech Republic, Institute of Mathematics. 240--247 (2013; Zbl 1340.35114) Full Text: Link
Léandre, Rémi A Girsanov formula associated to a big order pseudo-differential operator. (English) Zbl 1287.35112 Cubo 15, No. 1, 113-117 (2013). MSC: 35S05 35K41 60G20 PDFBibTeX XMLCite \textit{R. Léandre}, Cubo 15, No. 1, 113--117 (2013; Zbl 1287.35112) Full Text: DOI
Litovchenko, V. A. Fundamental solution of the Cauchy problem for a class of degenerate parabolic pseudo-differential equations. (Ukrainian. English summary) Zbl 1289.35141 Zb. Pr. Inst. Mat. NAN Ukr. 10, No. 2, 201-218 (2013). MSC: 35K15 35K41 35K70 PDFBibTeX XMLCite \textit{V. A. Litovchenko}, Zb. Pr. Inst. Mat. NAN Ukr. 10, No. 2, 201--218 (2013; Zbl 1289.35141)
Denk, Robert; Kaip, Mario General parabolic mixed order systems in \(L_p\) and applications. (English) Zbl 06214483 Operator Theory: Advances and Applications 239. Cham: Birkhäuser/Springer (ISBN 978-3-319-01999-4/hbk; 978-3-319-02000-6/ebook). viii, 250 p. (2013). MSC: 35-02 35K41 47F05 PDFBibTeX XMLCite \textit{R. Denk} and \textit{M. Kaip}, General parabolic mixed order systems in \(L_p\) and applications. Cham: Birkhäuser/Springer (2013; Zbl 06214483) Full Text: DOI
Streets, Jeffrey Collapsing in the \(L^2\) curvature flow. (English) Zbl 1275.53063 Commun. Partial Differ. Equations 38, No. 4-6, 985-1014 (2013). Reviewer: Alberto Parmeggiani (Bologna) MSC: 53C44 35K41 PDFBibTeX XMLCite \textit{J. Streets}, Commun. Partial Differ. Equations 38, No. 4--6, 985--1014 (2013; Zbl 1275.53063) Full Text: DOI arXiv
Gupta, V. G.; Gupta, Sumit Analytical solution of singular fourth order parabolic partial differential equations of variable coefficients by using homotopy perturbation transform method. (English) Zbl 1261.35009 J. Appl. Math. Inform. 31, No. 1-2, 165-177 (2013). MSC: 35A25 65M15 35K67 35K41 PDFBibTeX XMLCite \textit{V. G. Gupta} and \textit{S. Gupta}, J. Appl. Math. Inform. 31, No. 1--2, 165--177 (2013; Zbl 1261.35009) Full Text: DOI Link
Streets, Jeffrey The long time behavior of fourth order curvature flows. (English) Zbl 1258.53074 Calc. Var. Partial Differ. Equ. 46, No. 1-2, 39-54 (2013). MSC: 53C44 35K41 PDFBibTeX XMLCite \textit{J. Streets}, Calc. Var. Partial Differ. Equ. 46, No. 1--2, 39--54 (2013; Zbl 1258.53074) Full Text: DOI arXiv
Luo, Hong; Pu, Zhilin Existence and regularity of solutions to models for liquid mixture of \(^3\text{He}\)-\(^4\text{He}\). (English) Zbl 1289.35148 Acta Math. Sci., Ser. B, Engl. Ed. 32, No. 6, 2161-2175 (2012). MSC: 35K35 35D30 35D35 35K41 PDFBibTeX XMLCite \textit{H. Luo} and \textit{Z. Pu}, Acta Math. Sci., Ser. B, Engl. Ed. 32, No. 6, 2161--2175 (2012; Zbl 1289.35148) Full Text: DOI
Kang, Jing; Qu, Changzheng Symmetry groups and fundamental solutions for systems of parabolic equations. (English) Zbl 1274.35177 J. Math. Phys. 53, No. 2, 023509, 21 p. (2012). MSC: 35K41 35K45 35A08 35B05 PDFBibTeX XMLCite \textit{J. Kang} and \textit{C. Qu}, J. Math. Phys. 53, No. 2, 023509, 21 p. (2012; Zbl 1274.35177) Full Text: DOI
Mantegazza, Carlo; Martinazzi, Luca A note on quasilinear parabolic equations on manifolds. (English) Zbl 1272.35123 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 11, No. 4, 857-874 (2012). Reviewer: Bixiang Wang (Socorro) MSC: 35K59 35K41 35K52 58J35 PDFBibTeX XMLCite \textit{C. Mantegazza} and \textit{L. Martinazzi}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 11, No. 4, 857--874 (2012; Zbl 1272.35123) Full Text: DOI arXiv
Cerpa, Eduardo; Mercado, Alberto; Pazoto, Ademir F. On the boundary control of a parabolic system coupling KS-KdV and heat equations. (English) Zbl 1255.93025 Sci., Ser. A, Math. Sci. (N.S.) 22, 55-74 (2012). MSC: 93B05 35K41 93C20 PDFBibTeX XMLCite \textit{E. Cerpa} et al., Sci., Ser. A, Math. Sci. (N.S.) 22, 55--74 (2012; Zbl 1255.93025)
Kaip, Mario; Saal, Jürgen The permanence of \(\mathcal{R}\)-boundedness and property (\(\alpha\)) under interpolation and applications to parabolic systems. (English) Zbl 1277.46011 J. Math. Sci., Tokyo 19, No. 3, 359-407 (2012). Reviewer: Georgi E. Karadzhov (Sofia) MSC: 46B70 47F05 35K41 35K46 PDFBibTeX XMLCite \textit{M. Kaip} and \textit{J. Saal}, J. Math. Sci., Tokyo 19, No. 3, 359--407 (2012; Zbl 1277.46011) Full Text: Link
Bahaa, G. M. Optimality conditions for infinite order distributed parabolic systems with multiple time delays given in integral form. (English) Zbl 1252.49031 J. Appl. Math. 2012, Article ID 672947, 25 p. (2012). MSC: 49K20 35K41 PDFBibTeX XMLCite \textit{G. M. Bahaa}, J. Appl. Math. 2012, Article ID 672947, 25 p. (2012; Zbl 1252.49031) Full Text: DOI
Byun, Sun-Sig; Wang, Lihe \(L ^{p }\)-regularity for fourth order parabolic systems with measurable coefficients. (English) Zbl 1255.35132 Math. Z. 272, No. 1-2, 515-530 (2012). Reviewer: Dian K. Palagachev (Bari) MSC: 35K41 35K40 35R05 46E30 46E35 35B65 PDFBibTeX XMLCite \textit{S.-S. Byun} and \textit{L. Wang}, Math. Z. 272, No. 1--2, 515--530 (2012; Zbl 1255.35132) Full Text: DOI
Lott, John Mean curvature flow in a Ricci flow background. (English) Zbl 1246.53090 Commun. Math. Phys. 313, No. 2, 517-533 (2012). MSC: 53C44 35K41 PDFBibTeX XMLCite \textit{J. Lott}, Commun. Math. Phys. 313, No. 2, 517--533 (2012; Zbl 1246.53090) Full Text: DOI arXiv
Litovchenko, Vladyslav A.; Dovzhytska, Iryna M. Cauchy problem for a class of parabolic systems of Shilov type with variable coefficients. (English) Zbl 1239.35061 Cent. Eur. J. Math. 10, No. 3, 1084-1102 (2012). MSC: 35K41 35K46 35A08 35B30 PDFBibTeX XMLCite \textit{V. A. Litovchenko} and \textit{I. M. Dovzhytska}, Cent. Eur. J. Math. 10, No. 3, 1084--1102 (2012; Zbl 1239.35061) Full Text: DOI
Litovchenko, V. A.; Nastasiĭ, E. B. Degenerate parabolic systems of vector order Kolmogorov-type equations. (English. Russian original) Zbl 1248.35109 Sib. Math. J. 53, No. 1, 119-133 (2012); translation from Sib. Mat. Zh. 53, No. 1, 148-164 (2012). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 35K70 35K41 35K15 PDFBibTeX XMLCite \textit{V. A. Litovchenko} and \textit{E. B. Nastasiĭ}, Sib. Math. J. 53, No. 1, 119--133 (2012; Zbl 1248.35109); translation from Sib. Mat. Zh. 53, No. 1, 148--164 (2012) Full Text: DOI
Floridia, Giuseppe; Ragusa, Maria Alessandra Interpolation inequalities for weak solutions of nonlinear parabolic systems. (English) Zbl 1270.35161 J. Inequal. Appl. 2011, Paper No. 42, 17 p. (2011). MSC: 35B65 35K41 35B45 35K59 PDFBibTeX XMLCite \textit{G. Floridia} and \textit{M. A. Ragusa}, J. Inequal. Appl. 2011, Paper No. 42, 17 p. (2011; Zbl 1270.35161) Full Text: DOI
Chu, Kevin T. Boosting the accuracy of finite difference schemes via optimal time step selection and non-iterative defect correction. (English) Zbl 1244.65123 Appl. Math. Comput. 218, No. 7, 3596-3614 (2011). MSC: 65M06 35K05 35L05 35Q53 35K41 PDFBibTeX XMLCite \textit{K. T. Chu}, Appl. Math. Comput. 218, No. 7, 3596--3614 (2011; Zbl 1244.65123) Full Text: DOI arXiv
Allouba, Hassan From Brownian-time Brownian sheet to a fourth order and a Kuramoto-Sivashinsky-variant interacting PDEs systems. (English) Zbl 1246.35068 Stochastic Anal. Appl. 29, No. 6, 933-950 (2011). Reviewer: Dirk Blömker (Augsburg) MSC: 35G50 60H30 35C15 60G60 60J45 60J35 60J60 60J65 35K41 PDFBibTeX XMLCite \textit{H. Allouba}, Stochastic Anal. Appl. 29, No. 6, 933--950 (2011; Zbl 1246.35068) Full Text: DOI arXiv
Haehnle, Jonas; Prohl, Andreas Mumford-Shah-Euler flow with sphere constraint and applications to color image inpainting. (English) Zbl 1269.65097 SIAM J. Imaging Sci. 4, No. 4, 1200-1233 (2011). MSC: 65M60 65M12 35K41 94A08 PDFBibTeX XMLCite \textit{J. Haehnle} and \textit{A. Prohl}, SIAM J. Imaging Sci. 4, No. 4, 1200--1233 (2011; Zbl 1269.65097) Full Text: DOI
Dong, Hongjie; Kim, Doyoon Higher order elliptic and parabolic systems with variably partially BMO coefficients in regular and irregular domains. (English) Zbl 1231.35093 J. Funct. Anal. 261, No. 11, 3279-3327 (2011). Reviewer: Vincenzo Vespri (Firenze) MSC: 35K41 35J48 35B65 PDFBibTeX XMLCite \textit{H. Dong} and \textit{D. Kim}, J. Funct. Anal. 261, No. 11, 3279--3327 (2011; Zbl 1231.35093) Full Text: DOI arXiv
Dong, Hongjie; Kim, Doyoon On the \(L_p\)-solvability of higher-order parabolic and elliptic systems with BMO coefficients. (English) Zbl 1228.35113 Arch. Ration. Mech. Anal. 199, No. 3, 889-941 (2011). Reviewer: Lubomira Softova (Aversa) MSC: 35K41 35J48 PDFBibTeX XMLCite \textit{H. Dong} and \textit{D. Kim}, Arch. Ration. Mech. Anal. 199, No. 3, 889--941 (2011; Zbl 1228.35113) Full Text: DOI arXiv
Guo, Yung-Jen Lin A nonlocal parabolic problem arising in linear friction welding. (English) Zbl 1198.34040 Osaka J. Math. 47, No. 1, 33-40 (2010). Reviewer: Cristina Marcelli (Ancona) MSC: 34B40 34B15 35K41 PDFBibTeX XMLCite \textit{Y.-J. L. Guo}, Osaka J. Math. 47, No. 1, 33--40 (2010; Zbl 1198.34040) Full Text: Euclid
Ahmed, N. U. A brief summary of optional control of uncertain systems governed by parabolic inclusions. (English) Zbl 1188.49002 Arab. J. Sci. Eng. (AJSE), Math. 1, No. 1, 13-23 (2009). MSC: 49J20 49J21 49N35 93C25 93B52 65N21 47A62 35K40 35K41 16K20 PDFBibTeX XMLCite \textit{N. U. Ahmed}, Arab. J. Sci. Eng. (AJSE), Math. 34, No. 1D, 13--23 (2009; Zbl 1188.49002)
Bögelein, Verena Partial regularity and singular sets of solutions of higher order parabolic systems. (English) Zbl 1183.35158 Ann. Mat. Pura Appl. (4) 188, No. 1, 61-122 (2009). Reviewer: Andreas Gastel (Erlangen) MSC: 35K41 35D30 PDFBibTeX XMLCite \textit{V. Bögelein}, Ann. Mat. Pura Appl. (4) 188, No. 1, 61--122 (2009; Zbl 1183.35158) Full Text: DOI
Bögelein, Verena Very weak solutions of higher-order degenerate parabolic systems. (English) Zbl 1178.35215 Adv. Differ. Equ. 14, No. 1-2, 121-200 (2009). Reviewer: Vladimir N. Grebenev (Novosibirsk) MSC: 35K65 46E35 35K59 35D30 35B65 35K41 PDFBibTeX XMLCite \textit{V. Bögelein}, Adv. Differ. Equ. 14, No. 1--2, 121--200 (2009; Zbl 1178.35215)
Danylyuk, A. O. Boundary-value problem for a parabolic system of integro-differential equations with integral conditions. (Ukrainian, English) Zbl 1199.35136 Ukr. Math. J. 60, No. 12, 1889-1900 (2008); translation from Ukr. Mat. Zh. 60, No. 12, 1610-1618 (2008). Reviewer: A. N. Kochubei (Kyïv) MSC: 35K41 45K05 35R09 PDFBibTeX XMLCite \textit{A. O. Danylyuk}, Ukr. Mat. Zh. 60, No. 12, 1610--1618 (2008; Zbl 1199.35136); translation from Ukr. Mat. Zh. 60, No. 12, 1610--1618 (2008) Full Text: DOI
Haller-Dintelmann, Robert; Heck, Horst; Hieber, Matthias \(L^p\)-\(L^q\) estimates for parabolic systems in non-divergence form with VMO coefficients. (English) Zbl 1169.35339 J. Lond. Math. Soc., II. Ser. 74, No. 3, 717-736 (2006). Reviewer: Lubomira Softova (Fisciano) MSC: 35K40 35K41 35B45 35B65 PDFBibTeX XMLCite \textit{R. Haller-Dintelmann} et al., J. Lond. Math. Soc., II. Ser. 74, No. 3, 717--736 (2006; Zbl 1169.35339) Full Text: DOI
Fabes, E. B.; Riviere, N. M. Systems of parabolic equations with uniformly continuous coefficients. (English) Zbl 0144.35203 J. Anal. Math. 17, 305-335 (1966). Reviewer: J. Wolska-Bochenek MSC: 35K41 PDFBibTeX XMLCite \textit{E. B. Fabes} and \textit{N. M. Riviere}, J. Anal. Math. 17, 305--335 (1966; Zbl 0144.35203) Full Text: DOI
Matiĭchuk, M. I.; Èĭdel’man, S. D. Parabolic systems with coefficients satisfying Dini’s condition. (English. Russian original) Zbl 0147.08603 Sov. Math., Dokl. 6, 1461-1464 (1965); translation from Dokl. Akad. Nauk SSSR 165, 482-485 (1965). Reviewer: I. Łojczyk-Królikiewicz MSC: 35K41 35A08 PDFBibTeX XMLCite \textit{M. I. Matiĭchuk} and \textit{S. D. Èĭdel'man}, Sov. Math., Dokl. 6, 1461--1464 (1965; Zbl 0147.08603); translation from Dokl. Akad. Nauk SSSR 165, 482--485 (1965)