Results 281 to 290 of about 183,010 (330)
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Point control: approximations of parabolic problems and pseudo parabolic problems

Applicable Analysis, 1981
We consider quadratic control problems in which the underlying equation is of parabolic or pseudo-parabolic type and the distributed control is a Dirac-like function. The following approximating properties are studied i) the equation is fixed and the controls converge to a delta function and ii) the type of control is fixed and the pseudo-parahollc ...
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Non Degenerate Parabolic Problems

2018
Some non-degenerate parabolic problems are studied. An error estimate is obtained for a linear parabolic problem, followed by a convergence result for a quasi-linear problem. A class of non-linear parabolic problems under non-conservative form is then presented.
Jérôme Droniou   +4 more
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Hyperbolic-Parabolic Problems

2004
In this chapter, we first recall the classical existence and uniqueness results for parabolic systems. We then look for uniform estimates, independent of the viscosity, in spaces with tangential or conormal smoothness.
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Abstract Parabolic Problems

2015
The main goal of this chapter is to show how the general methods developed in the previous chapters can be applied in the study of properties of qualitative dynamics for a class of abstract evolution equations of the ...
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Parabolic Problems

2022
Lehel Banjai, Francisco-Javier Sayas
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Elliptic and Parabolic Problems

2016
In this chapter we prove maximal Lp-regularity for various linear parabolic and elliptic problems. These results will be crucial for our study of quasilinear parabolic problems, including those introduced in Chapter 1.
Jan Prüss, Gieri Simonett
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Parabolic stochastic obstacle problem

Nonlinear Analysis: Theory, Methods & Applications, 1987
The paper presents an existence and uniqueness result for a stochastic parabolic differential equation on a bounded domain. The equation contains a feedback law and is driven by a one-dimensional Wiener process. The solution lies a.s. above a given function. The variational approach is used.
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Parabolic Boundary-Value Problems

1992
The use of upper and lower solutions as initial iterations, discussed in the previous chapter, leads to two monotone sequences each of which converges to a unique solution of an integral equation. This chapter shows that the limit of the monotone sequence is indeed the solution of the parabolic problem for each of the three basic boundary conditions ...
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Parabolic problems

2001
Victor P. Pikulin, Stanislav I. Pohozaev
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