Results 21 to 30 of about 9,235 (294)
On some parabolic problems with measure sources
Moroccan Journal of Pure and Applied Analysis, 2019 One of the recent advances in the investigation of nonlinear parabolic equations with a measure as forcing term is a paper by F. Petitta in which it has been introduced the notion of renormalized solutions to the initial parabolic problem in divergence ...
Abdellaoui Mohammed
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On a comparison theorem for parabolic equations with nonlinear boundary conditions
Advances in Nonlinear Analysis, 2022 In this article, a new type of comparison theorem for some second-order nonlinear parabolic systems with nonlinear boundary conditions is given, which can cover classical linear boundary conditions, such as the homogeneous Dirichlet or Neumann boundary ...
Kita Kosuke, Ôtani Mitsuharu
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Ibn Al-Haitham Journal for Pure and Applied Sciences, 2022 This paper aims to study the quaternary classical continuous optimal control problem consisting of the quaternary nonlinear parabolic boundary value problem, the cost function, and the equality and inequality constraints on the state and the control ...
jamil Amir Al-Hawasy +1 more
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Controllability for parabolic equations with nonlinear memory
Computers & Mathematics with Applications, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qiang Tao, Hang Gao 0001
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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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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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Differential difference inequalities related to parabolic functional differential equations [PDF]
Opuscula Mathematica, 2010 Initial boundary value problems for nonlinear parabolic functional differential equations are transformed by discretization in space variables into systems of ordinary functional differential equations.
Milena Netka
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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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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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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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