Results 31 to 40 of about 2,128,627 (261)
Scaling in Nonlinear Parabolic Equations
Journal of Mathematical Analysis and Applications, 1999 The Cauchy problem for parabolic equations with quadratic nonlinearity is studied. We investigate the existence of global-in-time solutions and their large-time behavior assuming some scaling property of the equation as well as of the norm of the Banach space in which the solutions are constructed.
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Numerical methods for ordinary differential equations with applications to partial differential equations [PDF]
, 1983 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.The thesis develops a number of algorithms for the numerical solution of ordinary differential equations with applications to partial differential equations.
Khaliq, Abdul Qayyum Masud
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Nonlinear Parabolic Equations with Measure Data
Journal of Functional Analysis, 1997 Consider the parabolic problem \[ u_t -\mathop{div} a(x,t,u,Du) = \mu \quad\text{in } Q,\qquad u = 0 \quad \text{on } \mathcal PQ, \] where \(a(x,t,z,\xi)\) behaves like \(|\xi|^{p-2}\xi\), \(Q\) is a space-time cylinder with parabolic boundary \(\mathcal PQ\), and \(\mu\) is a measure on \(Q\).
BOCCARDO, Lucio +3 more
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Bounded Solutions to Nonlinear Parabolic Equations [PDF]
ISRN Mathematical Analysis, 2011 We deal with existence results for nonlinear parabolic equations with general quadratic gradient terms and with absorption term which depend on the solution. We note that no boundedness is assumed on the data of the problem. We prove an existence result of distributional solution via test-function method.
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Global existence for fully parabolic boundary value problems
, 2006 We present some results on the global existence of classical solutions for quasilinear parabolic equations with nonlinear dynamic boundary conditions in bounded domains with a smooth ...
Constantin, Adrian +3 more
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Nonlinear Parabolic Equations with Regularized Derivatives
Journal of Mathematical Analysis and Applications, 1999 Nonlinear systems of differential equations \[ \partial_tu+\partial_xf(u)+g(u)=\Delta u\tag{1} \] are considered on \(\mathbb R_+^{n+1}\) \((t>0)\), where \(u=(u_1,\dots,u_m)^T\), \(f(u)=(f_1(u),\dots,f_n(u))^T\), \(\partial_xf(u)=\sum_{i=1}^n\partial_{x_i}f_i(u)\).
Wang, Y.G., Oberguggenberger, M.
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Degenerate parabolic equations appearing in atmospheric dispersion of pollutants
Electronic Journal of Qualitative Theory of Differential Equations, 2016 Linear and nonlinear degenerate abstract parabolic equations with variable coefficients are studied. Here the equation and boundary conditions are degenerated on all boundary and contain some parameters.
Veli Shakhmurov, Aida Sahmurova
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Positivity of solutions to the Cauchy problem for linear and semilinear biharmonic heat equations
Advances in Nonlinear Analysis, 2020 This paper is concerned with the positivity of solutions to the Cauchy problem for linear and nonlinear parabolic equations with the biharmonic operator as fourth order elliptic principal part. Generally, Cauchy problems for parabolic equations of fourth
Grunau Hans-Christoph +2 more
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To the uniqueness problem for nonlinear parabolic equations
Discrete and Continuous Dynamical Systems, 2004 Preprint: Weierstraß-Institut für Angewandte Analysis und Stochastik, vol ...
Skrypnik, Igor V., Gajewski, Herbert
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Doubly nonlinear parabolic equations
, 2020 The public defense on 15th May 2020 at 12:00 will be organized via remote technology. Link: https://aalto.zoom.us/j/66291986278 Zoom Quick Guide: https://www.aalto.fi/en/services/zoom-quick-guideThis thesis is devoted to the study of the existence and ...
Vestberg, Matias
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