Publication Cover
Applicable Analysis
An International Journal
Volume 5, 1975 - Issue 2
50
Views
37
CrossRef citations to date
0
Altmetric
Original Articles

The sobolev equation, II

Pages 81-99 | Published online: 02 May 2007

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (6)

. (2023) Correction Statement. Journal of Difference Equations and Applications 29:8, pages 857-859.
Read now
B. Gunes & Hakki Duru. (2022) A second-order difference scheme for the singularly perturbed Sobolev problems with third type boundary conditions on Bakhvalov mesh. Journal of Difference Equations and Applications 28:3, pages 385-405.
Read now
L.A. Packer & R.E. Showalter. (1995) The regularized layered medium equation. Applicable Analysis 58:1-2, pages 137-155.
Read now
P. Binding & P. J. Browne. (1988) Applications of two parameter spectral theory to symmetric generalised eigenvalue problems. Applicable Analysis 29:1-2, pages 107-142.
Read now
Alna van der Merwe. (1988) B-evolutions and sobolev equations. Applicable Analysis 29:1-2, pages 91-105.
Read now
Filippo Chiarenza & Michele Frasca. (1984) Boundedness for the solutions of a degenerate parabolic equation. Applicable Analysis 17:4, pages 243-261.
Read now

Articles from other publishers (31)

Cao Yang & Yin Jingxue. (2024) An overview of recent studies on the pseudo-parabolic equation. SCIENTIA SINICA Mathematica 54:3, pages 259.
Crossref
Buying Zhang, Jikun Zhao & Shaochun Chen. (2022) Virtual element method for the Sobolev equations. Mathematical Methods in the Applied Sciences 46:1, pages 1266-1281.
Crossref
Stanilslav N. Antontsev, Serik E. Aitzhanov & Dinara T. Zhanuzakova. (2022) An initial boundary value problem for a pseudoparabolic equation with a nonlinear boundary condition. Mathematical Methods in the Applied Sciences 46:1, pages 1111-1136.
Crossref
. (2023) Sobolev-Type Systems and Applied Problems. Bulletin of the South Ural State University. Series "Mathematical Modelling, Programming and Computer Software" 16:4.
Crossref
Sangita Yadav, Soumyarani Mishra & Ambit K. Pany. Backward Euler method for 2D Sobolev equation with Burgers’ type non-linearity. Backward Euler method for 2D Sobolev equation with Burgers’ type non-linearity.
S.E. Aitzhanov, U.R. Kusherbayeva & K.S. Bekenayeva. (2022) Solvability of pseudoparabolic equation with Caputo fractional derivative. Chaos, Solitons & Fractals 160, pages 112193.
Crossref
Soumyarani Mishra & Ambit K. Pany. (2021) Completely discrete schemes for 2D Sobolev equations with Burgers’ type nonlinearity. Numerical Algorithms 90:3, pages 963-987.
Crossref
S.A. Zagrebina & A.S. Konkina. (2022) The Non-Classical Models of Mathematical Physics the Multipoint Initial-Final Value Condition. Bulletin of the South Ural State University. Series "Mathematical Modelling, Programming and Computer Software" 15:1, pages 60-83.
Crossref
Мурат Хамидбиевич Бештоков & Murat KHamidbievich Beshtokov. (2022) Краевые задачи для уравнения соболевского типа дробного порядка c эффектом памятиBoundary value problems for Sobolev type equations of fractional order with memory effect. Вестник Самарского государственного технического университета. Серия «Физико-математические науки» Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences 26:4, pages 607-629.
Crossref
Ambit K. Pany, Saumya Bajpai & Soumyarani Mishra. (2020) Finite element Galerkin method for 2D Sobolev equations with Burgers’ type nonlinearity. Applied Mathematics and Computation 387, pages 125113.
Crossref
Serge Nicaise & Fatiha Bekkouche. (2019) A posteriori error estimates for a fully discrete approximation of Sobolev equations. Confluentes Mathematici 11:1, pages 3-28.
Crossref
F. Bekkouche, W. Chikouche & S. Nicaise. (2018) Fully discrete approximation of general nonlinear Sobolev equations. Afrika Matematika 30:1-2, pages 53-90.
Crossref
M. Kh. Beshtokov. (2019) Numerical Analysis of Initial-Boundary Value Problem for a Sobolev-Type Equation with a Fractional-Order Time Derivative. Computational Mathematics and Mathematical Physics 59:2, pages 175-192.
Crossref
Adam Larios, Yuan Pei & Leo Rebholz. (2019) Global well-posedness of the velocity–vorticity-Voigt model of the 3D Navier–Stokes equations. Journal of Differential Equations 266:5, pages 2435-2465.
Crossref
Ambit K. Pany & Sudeep Kundu. 2018. Numerical Analysis and Optimization. Numerical Analysis and Optimization 209 227 .
Minzilia A. Sagadeeva & Georgy A. Sviridyuk. 2015. Semigroups of Operators -Theory and Applications. Semigroups of Operators -Theory and Applications 257 271 .
Adam Larios & Edriss S. Titi. (2013) Higher-Order Global Regularity of an Inviscid Voigt-Regularization of the Three-Dimensional Inviscid Resistive Magnetohydrodynamic Equations. Journal of Mathematical Fluid Mechanics 16:1, pages 59-76.
Crossref
Alexander B. Al'shin, Maxim O. Korpusov & Alexey G. Sveshnikov. 2011. Blow-up in Nonlinear Sobolev Type Equations. Blow-up in Nonlinear Sobolev Type Equations 621 646 .
K. B. Liaskos, I. G. Stratis & A. N. Yannacopoulos. (2008) Pseudoparabolic equations with additive noise and applications. Mathematical Methods in the Applied Sciences 32:8, pages 963-985.
Crossref
S. A. Zagrebina. (2007) On the Showalter-Sidorov problem. Russian Mathematics 51:3, pages 19-24.
Crossref
John R. Cannon & Yanping Lin. (1988) Classical and weak solutions for one-dimensional pseudo-parabolic equations with typical boundary data. Annali di Matematica Pura ed Applicata 152:1, pages 375-385.
Crossref
G Hetzer. (1980) Periodic solutions of ordinary differential equations in a Hilbert space and a quasilinear pseudoparabolic boundary value problem. Journal of Differential Equations 38:3, pages 361-373.
Crossref
L. W. White. (1980) Controllability Properties of Pseudo-Parabolic Boundary Control Problems. SIAM Journal on Control and Optimization 18:5, pages 534-539.
Crossref
L.W. White. (1980) Control problems governed by Sobolev partial differential equations. Journal of Mathematical Analysis and Applications 73:1, pages 267-277.
Crossref
L. W. White. (1979) Control of a Pseudo-Parabolic Initial-Value Problem to a Target Function. SIAM Journal on Control and Optimization 17:5, pages 587-595.
Crossref
R.E. Showalter. (1979) Degenerate parabolic initial-boundary value problems. Journal of Differential Equations 31:3, pages 296-312.
Crossref
William Rundell & Michael Stecher. (1978) A Runge Approximation and Unique Continuation Theorem for Pseudoparabolic Equations. SIAM Journal on Mathematical Analysis 9:6, pages 1120-1125.
Crossref
Vincent G. Sigillito. (1976) A Priori Inequalities and the Direchlet Problem for a Pseudo-Parabolic Equation. SIAM Journal on Mathematical Analysis 7:2, pages 222-229.
Crossref
R. E. Showalter. (1975) Nonlinear Degenerate Evolution Equations and Partial Differential Equations of Mixed Type. SIAM Journal on Mathematical Analysis 6:1, pages 25-42.
Crossref
John Lagnese. (1972) Exponential Stability of Solutions of Differential Equations of Sobolev Type. SIAM Journal on Mathematical Analysis 3:4, pages 625-636.
Crossref
R. E. Showalter. (1972) Existence and Representation Theorems for a Semilinear Sobolev Equation in Banach Space. SIAM Journal on Mathematical Analysis 3:3, pages 527-543.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.