Results 261 to 270 of about 1,208 (288)

Maslov’s canonical operator for degenerate hyperbolic equations

Russian Journal of Mathematical Physics, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

On a variational inequality for a degenerate quasilinear hyperbolic equation

Applied Mathematics and Computation, 2003
The author studies a unilateral problem for the nonhomogeneous degenerate Kirchhoff equation with a blowing up term. Using the penalty method and Galerkin's approximation, existence and uniqueness results are obtained.
openaire   +2 more sources

The Bitsadze–Samarskii Problem for a Class of Degenerate Hyperbolic Equations

Differential Equations, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Salakhitdinov, M. S., Mirsaburov, M.
openaire   +2 more sources

Möbius transformation and degenerate hyperbolic equation

Advances in Applied Clifford Algebras, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Hyperbolic phenomena in a strongly degenerate parabolic equation

Archive for Rational Mechanics and Analysis, 1992
The authors consider the problem \(u_ t=(\varphi(u)\psi(u_ x))_ x\) for \(x\in\mathbb{R}\), \(t>0\), \(u(x,0)=u_ 0(x)\) for \(x\in\mathbb{R}\) where \(\varphi:\mathbb{R}\to\mathbb{R}^ +\) is smooth and strictly positive, and \(\psi:\mathbb{R}\to\mathbb{R}\) is a smooth, odd function such that \(\psi'>0\) in \(\mathbb{R}\) and \(\lim_{s\to\infty}\psi(s)\
BERTSCH, MICHIEL, Dal Passo, R.
openaire   +3 more sources

On a nonlocal problem for a degenerating parabolic-hyperbolic equation

Differential Equations, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sabitov, K. B., Sidorov, S. N.
openaire   +1 more source

Boundary problems for a class of degenerate hyperbolic equations

Siberian Mathematical Journal, 1984
The author considers the equation \(xu_{xx}-yu_{yy}+(\alpha -m)u_ x- (\beta -n)u_ y=0\), provided ...
openaire   +2 more sources

Energy estimates for a class of degenerate hyperbolic equations

Mathematische Annalen, 2009
Considered is the Cauchy problem for a linear degenerate inhomogeneous hyperbolic equation in one dimension. The leading coefficient which is allowed to vanish is decomposed in \(a(x ,t)= q(x ,t)K(x ,t)\), where \(K(x ,t)\), is a nonnegative smooth function and \(q(x ,t)\) is a positive smooth function. In case all coefficients are smooth functions on \
openaire   +2 more sources

Theory of degenerate second order hyperbolic equations

Siberian Mathematical Journal, 1990
The equation mentioned in the title is: \[ Lu=\nu^ 2(t)u_{tt}- \sum^{n}_{i,j=1}\partial /\partial x_ i(a_{ij}(x,t)u_{x_ j})+au_ t+\sum^{n}_{i=1}b_ iu_{x_ i}+cu=f, \] with \(a_{ij}=a_{ji}\), \(\sum^{n}_{i,j=1}a_{ij}\xi_ i\xi_ j\geq 0\), for any \(\xi \in {\mathbb{R}}^ n\). \(\nu\) (t) is continuous on [0,1] and differentiable on (0,1].
openaire   +2 more sources

Degenerated nonlinear hyperbolic equation with discontinuous coefficients

Proceedings of the Indian Academy of Sciences - Section A, 1985
The author considers a general nonlinear hyperbolic equation in the region \(Q:=D\times [0,T]\) where D is a bounded domain in \({\mathbb{R}}^ n\) with smooth boundary \(\Gamma\). It is assumed that D is partitioned by a hypersurface \(\Gamma_ 1\) into regions \(D_ 1\) and \(D_ 2\) and the notation \(\gamma =\Gamma_ 1\times [0,T]\), \(S=\Gamma \times ...
openaire   +3 more sources