Kulczycki, Tadeusz; Kulik, Alexei; Ryznar, Michał On weak solution of SDE driven by inhomogeneous singular Lévy noise. (English) Zbl 1503.60068 Trans. Am. Math. Soc. 375, No. 7, 4567-4618 (2022). MSC: 60H10 60G51 47G20 PDFBibTeX XMLCite \textit{T. Kulczycki} et al., Trans. Am. Math. Soc. 375, No. 7, 4567--4618 (2022; Zbl 1503.60068) Full Text: DOI arXiv
Fayazov, K. S.; Khajiev, I. O. Estimation of conditional stability of the boundary-value problem for the system of parabolic equations with changing direction of time. (English) Zbl 1530.35028 Rep. Math. Phys. 88, No. 3, 419-431 (2021). MSC: 35B35 35B45 35A02 35R25 35K99 PDFBibTeX XMLCite \textit{K. S. Fayazov} and \textit{I. O. Khajiev}, Rep. Math. Phys. 88, No. 3, 419--431 (2021; Zbl 1530.35028) Full Text: DOI
Khushtova, F. G. Third boundary-value problem in the half-strip for the \(B\)-parabolic equation. (English. Russian original) Zbl 1468.35088 Math. Notes 109, No. 2, 292-301 (2021); translation from Mat. Zametki 109, No. 2, 290-301 (2021). MSC: 35K67 35K20 PDFBibTeX XMLCite \textit{F. G. Khushtova}, Math. Notes 109, No. 2, 292--301 (2021; Zbl 1468.35088); translation from Mat. Zametki 109, No. 2, 290--301 (2021) Full Text: DOI
Mamanazarov, A. O. Gevrey problem for a mixed parabolic equation with a singular coefficient. (English. Russian original) Zbl 1461.35164 J. Math. Sci., New York 254, No. 6, 718-730 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 156, 18-29 (2018). MSC: 35M13 35B65 PDFBibTeX XMLCite \textit{A. O. Mamanazarov}, J. Math. Sci., New York 254, No. 6, 718--730 (2021; Zbl 1461.35164); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 156, 18--29 (2018) Full Text: DOI
Mamanazarov, A. O. Unique solvability of problems for a mixed parabolic equation in unbounded domain. (English) Zbl 1452.35113 Lobachevskii J. Math. 41, No. 9, 1837-1845 (2020). MSC: 35M12 35A01 35A02 45B05 45D05 34A08 34B60 35B45 33E12 PDFBibTeX XMLCite \textit{A. O. Mamanazarov}, Lobachevskii J. Math. 41, No. 9, 1837--1845 (2020; Zbl 1452.35113) Full Text: DOI
Paronetto, Fabio Further existence results for elliptic-parabolic and forward-backward parabolic equations. (English) Zbl 1445.35256 Calc. Var. Partial Differ. Equ. 59, No. 4, Paper No. 137, 30 p. (2020). MSC: 35M10 35R20 35K90 35B65 PDFBibTeX XMLCite \textit{F. Paronetto}, Calc. Var. Partial Differ. Equ. 59, No. 4, Paper No. 137, 30 p. (2020; Zbl 1445.35256) Full Text: DOI OA License
Luzzini, Paolo Regularizing properties of space-periodic layer heat potentials and applications to boundary value problems in periodic domains. (English) Zbl 1446.35048 Math. Methods Appl. Sci. 43, No. 8, 5273-5294 (2020). MSC: 35K20 35A08 35K08 35B10 45A05 35K05 PDFBibTeX XMLCite \textit{P. Luzzini}, Math. Methods Appl. Sci. 43, No. 8, 5273--5294 (2020; Zbl 1446.35048) Full Text: DOI
Fayazov, Kudratillo S.; Khudayberganov, Yashin K. Ill-posed boundary-value problem for a system of partial differential equations with two degenerate lines. (English) Zbl 1532.35510 J. Sib. Fed. Univ., Math. Phys. 12, No. 3, 392-401 (2019). MSC: 35R25 PDFBibTeX XMLCite \textit{K. S. Fayazov} and \textit{Y. K. Khudayberganov}, J. Sib. Fed. Univ., Math. Phys. 12, No. 3, 392--401 (2019; Zbl 1532.35510) Full Text: DOI MNR
Pyatkov, S. G. On some classes of nonlocal boundary-value problems for singular parabolic equations. (English. Russian original) Zbl 1429.35188 Math. Notes 106, No. 4, 602-615 (2019); translation from Mat. Zametki 106, No. 4, 578-594 (2019). MSC: 35R09 35K35 35K67 PDFBibTeX XMLCite \textit{S. G. Pyatkov}, Math. Notes 106, No. 4, 602--615 (2019; Zbl 1429.35188); translation from Mat. Zametki 106, No. 4, 578--594 (2019) Full Text: DOI
Lanza de Cristoforis, Massimo; Luzzini, Paolo Tangential derivatives and higher-order regularizing properties of the double layer heat potential. (English) Zbl 1427.31004 Analysis, München 38, No. 4, 167-193 (2018). MSC: 31B10 PDFBibTeX XMLCite \textit{M. Lanza de Cristoforis} and \textit{P. Luzzini}, Analysis, München 38, No. 4, 167--193 (2018; Zbl 1427.31004) Full Text: DOI
Lanza de Cristoforis, Massimo; Luzzini, Paolo Time dependent boundary norms for kernels and regularizing properties of the double layer heat potential. (English) Zbl 1463.31007 Eurasian Math. J. 8, No. 1, 76-118 (2017). MSC: 31B10 PDFBibTeX XMLCite \textit{M. Lanza de Cristoforis} and \textit{P. Luzzini}, Eurasian Math. J. 8, No. 1, 76--118 (2017; Zbl 1463.31007) Full Text: MNR
Antoniouk, A. Vict.; Kiselev, O. M.; Tarkhanov, N. N. Asymptotic solutions of the Dirichlet problem for the heat equation at a characteristic point. (English) Zbl 1346.35074 Ukr. Math. J. 66, No. 10, 1455-1474 (2015) and Ukr. Mat. Zh. 66, No. 10, 1299-1317 (2015). MSC: 35K05 PDFBibTeX XMLCite \textit{A. Vict. Antoniouk} et al., Ukr. Math. J. 66, No. 10, 1455--1474 (2015; Zbl 1346.35074) Full Text: DOI Link
Amanov, D. Boundary-value problem for degenerate parabolic equation of high order with varying time direction. (English. Russian original) Zbl 1327.35208 Russ. Math. 58, No. 12, 1-6 (2014); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2014, No. 12, 3-8 (2014). MSC: 35K65 PDFBibTeX XMLCite \textit{D. Amanov}, Russ. Math. 58, No. 12, 1--6 (2014; Zbl 1327.35208); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2014, No. 12, 3--8 (2014) Full Text: DOI
Dyachenko, Evgueniya; Tarkhanov, Nikolai Degeneration of boundary layer at singular points. (English) Zbl 1522.35297 J. Sib. Fed. Univ., Math. Phys. 6, No. 3, 283-297 (2013). MSC: 35K05 35S15 PDFBibTeX XMLCite \textit{E. Dyachenko} and \textit{N. Tarkhanov}, J. Sib. Fed. Univ., Math. Phys. 6, No. 3, 283--297 (2013; Zbl 1522.35297) Full Text: MNR
Galaktionov, V. A.; Maz’ya, V. Boundary characteristic point regularity for semilinear reaction-diffusion equations: towards an ODE criterion. (English. Russian original) Zbl 1286.35123 J. Math. Sci., New York 175, No. 3, 249-283 (2011); translation from Probl. Mat. Anal. 56, 35-62 (2011). Reviewer: Ramzet M. Dzhafarov (Donetsk) MSC: 35K20 35K58 35B65 PDFBibTeX XMLCite \textit{V. A. Galaktionov} and \textit{V. Maz'ya}, J. Math. Sci., New York 175, No. 3, 249--283 (2011; Zbl 1286.35123); translation from Probl. Mat. Anal. 56, 35--62 (2011) Full Text: DOI arXiv
Fasano, A.; Mancini, A.; Primicerio, M.; Zaltzman, B. Waiting time phenomena forced by critical boundary conditions in classical diffusion problems. (English) Zbl 1213.35241 Q. Appl. Math. 69, No. 1, 105-122 (2011). MSC: 35K20 PDFBibTeX XMLCite \textit{A. Fasano} et al., Q. Appl. Math. 69, No. 1, 105--122 (2011; Zbl 1213.35241) Full Text: DOI Link
Tersenov, S. A. On some problems for forward-backward parabolic equations. (English. Russian original) Zbl 1203.35125 Sib. Math. J. 51, No. 2, 338-345 (2010); translation from Sib. Mat. Zh. 51, No. 2, 420-427 (2010). MSC: 35K15 35C15 35A01 35A02 PDFBibTeX XMLCite \textit{S. A. Tersenov}, Sib. Math. J. 51, No. 2, 338--345 (2010; Zbl 1203.35125); translation from Sib. Mat. Zh. 51, No. 2, 420--427 (2010) Full Text: DOI
Galaktionov, V. A. On regularity of a boundary point for higher-order parabolic equations: towards Petrovskii-type criterion by blow-up approach. (English) Zbl 1219.35123 NoDEA, Nonlinear Differ. Equ. Appl. 16, No. 5, 597-655 (2009). Reviewer: Andrey E. Shishkov (Donetsk) MSC: 35K35 35K25 PDFBibTeX XMLCite \textit{V. A. Galaktionov}, NoDEA, Nonlinear Differ. Equ. Appl. 16, No. 5, 597--655 (2009; Zbl 1219.35123) Full Text: DOI arXiv
Daoud, Daoud S. Overlapping Schwarz waveform relaxation method for the solution of the forward-backward heat equation. (English) Zbl 1132.65090 J. Comput. Appl. Math. 208, No. 2, 380-390 (2007). Reviewer: Kai Schneider (Marseille) MSC: 65M55 65M06 35K05 PDFBibTeX XMLCite \textit{D. S. Daoud}, J. Comput. Appl. Math. 208, No. 2, 380--390 (2007; Zbl 1132.65090) Full Text: DOI
Dominici, D.; Knessl, C. A small elliptic perturbation of a backward-forward parabolic problem with applications to stochastic models. (English) Zbl 1133.35343 Appl. Math. Lett. 17, No. 5, 535-542 (2004). MSC: 35J25 35B25 60K20 PDFBibTeX XMLCite \textit{D. Dominici} and \textit{C. Knessl}, Appl. Math. Lett. 17, No. 5, 535--542 (2004; Zbl 1133.35343) Full Text: DOI arXiv
Han, Houde; Yin, Dongsheng A non-overlap domain decomposition method for the forward–backward heat equation. (English) Zbl 1032.65107 J. Comput. Appl. Math. 159, No. 1, 35-44 (2003). Reviewer: Luca F.Pavarino (Milano) MSC: 65M55 65M06 65M12 35K05 PDFBibTeX XMLCite \textit{H. Han} and \textit{D. Yin}, J. Comput. Appl. Math. 159, No. 1, 35--44 (2003; Zbl 1032.65107) Full Text: DOI
Aziz, A. Kadir; French, Donald A.; Jensen, Soren; Kellogg, R. Bruce Origins, analysis, numerical analysis, and numerical approximation of a forward-backward parabolic problem. (English) Zbl 0962.65082 M2AN, Math. Model. Numer. Anal. 33, No. 5, 895-922 (1999). Reviewer: H.Matthies (Braunschweig) MSC: 65M60 35K15 65M15 65M12 PDFBibTeX XMLCite \textit{A. K. Aziz} et al., M2AN, Math. Model. Numer. Anal. 33, No. 5, 895--922 (1999; Zbl 0962.65082) Full Text: DOI EuDML Link
Vanaja, V. Numerical solution of a simple Fokker-Planck equation. (English) Zbl 0756.65145 Appl. Numer. Math. 9, No. 6, 533-540 (1992). Reviewer: Z.Dġadło (Warszawa) MSC: 65Z05 65M12 65M06 65M15 35Q72 82C40 PDFBibTeX XMLCite \textit{V. Vanaja}, Appl. Numer. Math. 9, No. 6, 533--540 (1992; Zbl 0756.65145) Full Text: DOI
Dell’Isola, Francesco Linear growth of a liquid droplet divided from its vapour by a “soap bubble”-like fluid interface. (English) Zbl 0695.76048 Int. J. Eng. Sci. 27, No. 9, 1053-1067 (1989). MSC: 76T99 45K05 PDFBibTeX XMLCite \textit{F. Dell'Isola}, Int. J. Eng. Sci. 27, No. 9, 1053--1067 (1989; Zbl 0695.76048) Full Text: DOI HAL
Goldstein, Jerome A.; Mazumdar, Tapas A heat equation in which the diffusion coefficient changes sign. (English) Zbl 0602.35060 J. Math. Anal. Appl. 103, 533-564 (1984). Reviewer: H.Pecher MSC: 35K65 35K05 35D05 PDFBibTeX XMLCite \textit{J. A. Goldstein} and \textit{T. Mazumdar}, J. Math. Anal. Appl. 103, 533--564 (1984; Zbl 0602.35060) Full Text: DOI
Rubinstein, L. Free boundary problem for a nonlinear system of parabolic equations, including one with reversed time. (English) Zbl 0558.35078 Ann. Mat. Pura Appl., IV. Ser. 135, 27-71 (1983). Reviewer: I.Athanasopoulos MSC: 35R35 35K60 45D05 45B05 35K10 35K40 PDFBibTeX XMLCite \textit{L. Rubinstein}, Ann. Mat. Pura Appl. (4) 135, 27--71 (1983; Zbl 0558.35078) Full Text: DOI
Beals, Richard An abstract treatment of some forward-backward problems of transport and scattering. (English) Zbl 0425.34067 J. Funct. Anal. 34, 1-20 (1979). MSC: 34G10 PDFBibTeX XMLCite \textit{R. Beals}, J. Funct. Anal. 34, 1--20 (1979; Zbl 0425.34067) Full Text: DOI
Arena, Orazio On a singular parabolic equation related to axially symmetric heat potentials. (English) Zbl 0305.35050 Ann. Mat. Pura Appl., IV. Ser. 105, 347-393 (1975). MSC: 35K15 35A05 35R05 PDFBibTeX XMLCite \textit{O. Arena}, Ann. Mat. Pura Appl. (4) 105, 347--393 (1975; Zbl 0305.35050) Full Text: DOI
Pagani, Carlo On the parabolic equation \(sgn (x) | x | ^p u_y - u_{xx}=0\) and a related one. (English) Zbl 0274.35038 Ann. Mat. Pura Appl., IV. Ser. 99, 333-399 (1974). MSC: 35K20 35A05 35A22 PDFBibTeX XMLCite \textit{C. Pagani}, Ann. Mat. Pura Appl. (4) 99, 333--399 (1974; Zbl 0274.35038) Full Text: DOI
Pagani, C. D.; Talenti, G. On a forward-backward parabolic equation. (English) Zbl 0238.35043 Ann. Mat. Pura Appl., IV. Ser. 90, 1-57 (1971). MSC: 35K20 PDFBibTeX XMLCite \textit{C. D. Pagani} and \textit{G. Talenti}, Ann. Mat. Pura Appl. (4) 90, 1--57 (1971; Zbl 0238.35043) Full Text: DOI
Effros, Edward G.; Kazdan, Jerry L. Applications of Choquet simplexes to elliptic and parabolic boundary value problems. (English) Zbl 0255.46018 J. Differ. Equations 8, 95-134 (1970). MSC: 46E15 35B99 35K20 31D05 35J25 PDFBibTeX XMLCite \textit{E. G. Effros} and \textit{J. L. Kazdan}, J. Differ. Equations 8, 95--134 (1970; Zbl 0255.46018) Full Text: DOI
Rektoyrs, K. Die Lösung der ersten Randwertprobleme ’im Ganzen’ für eine nichtlineare parabolische Gleichung mit der Netzmethode. (German) Zbl 0116.07304 Czech. Math. J. 12(87), 69-103 (1962). PDFBibTeX XMLCite \textit{K. Rektoyrs}, Czech. Math. J. 12(87), 69--103 (1962; Zbl 0116.07304) Full Text: DOI EuDML
Barrar, R. B. Some estimates for solutions of parabolic equations. (English) Zbl 0112.32502 J. Math. Anal. Appl. 3, 373-397 (1961). PDFBibTeX XMLCite \textit{R. B. Barrar}, J. Math. Anal. Appl. 3, 373--397 (1961; Zbl 0112.32502) Full Text: DOI
Pini, Bruno Su un problema di tipo nuovo relativo alle equazioni paraboliche d’ordine superiore al secondo. (Italian) Zbl 0092.31001 Ann. Mat. Pura Appl., IV. Ser. 48, 305-332 (1959). PDFBibTeX XMLCite \textit{B. Pini}, Ann. Mat. Pura Appl. (4) 48, 305--332 (1959; Zbl 0092.31001) Full Text: DOI
Pagni, Mauro Su un problema al contorno tipico per l’equazione del calore. (Italian) Zbl 0078.27606 Ann. Sc. Norm. Super. Pisa, Sci. Fis. Mat., III. Ser. 11, 73-115 (1957). PDFBibTeX XMLCite \textit{M. Pagni}, Ann. Sc. Norm. Super. Pisa, Sci. Fis. Mat., III. Ser. 11, 73--115 (1957; Zbl 0078.27606) Full Text: Numdam EuDML
Bellman, Richard On the existence and boundedness of solutions of nonlinear partial differential equations of parabolic type. (English) Zbl 0032.06903 Trans. Am. Math. Soc. 64, 21-44 (1948). PDFBibTeX XMLCite \textit{R. Bellman}, Trans. Am. Math. Soc. 64, 21--44 (1948; Zbl 0032.06903) Full Text: DOI